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1055016450 = 23252109137157
BaseRepresentation
bin111110111000100…
…100011000000010
32201112012101111100
4332320210120002
54130041011300
6252404355230
735100330465
oct7670443002
92645171440
101055016450
114a1590524
122553a5b16
1313a7609b7
14a018d2dc
156294c700
hex3ee24602

1055016450 has 144 divisors (see below), whose sum is σ = 2899713960. Its totient is φ = 274959360.

The previous prime is 1055016449. The next prime is 1055016451. The reversal of 1055016450 is 546105501.

It is a happy number.

1055016450 is a `hidden beast` number, since 1 + 0 + 550 + 1 + 64 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (1055016449) and next prime (1055016451).

It can be written as a sum of positive squares in 12 ways, for example, as 85877289 + 969139161 = 9267^2 + 31131^2 .

It is a super-3 number, since 3×10550164503 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1055016451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6719772 + ... + 6719928.

Almost surely, 21055016450 is an apocalyptic number.

1055016450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055016450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449856980).

1055016450 is an abundant number, since it is smaller than the sum of its proper divisors (1844697510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055016450 is a wasteful number, since it uses less digits than its factorization.

1055016450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1055016450 is about 32481.0167636421. The cubic root of 1055016450 is about 1018.0124213177.

It can be divided in two parts, 10550 and 16450, that added together give a cube (27000 = 303).

The spelling of 1055016450 in words is "one billion, fifty-five million, sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 137 150 157 218 225 274 314 327 411 450 471 545 654 685 785 822 942 981 1090 1233 1370 1413 1570 1635 1962 2055 2355 2466 2725 2826 3270 3425 3925 4110 4710 4905 5450 6165 6850 7065 7850 8175 9810 10275 11775 12330 14130 14933 16350 17113 20550 21509 23550 24525 29866 30825 34226 35325 43018 44799 49050 51339 61650 64527 70650 74665 85565 89598 102678 107545 129054 134397 149330 154017 171130 193581 215090 223995 256695 268794 308034 322635 373325 387162 427825 447990 513390 537725 645270 671985 746650 770085 855650 967905 1075450 1119975 1283475 1343970 1540170 1613175 1935810 2239950 2344481 2566950 3226350 3359925 3850425 4688962 4839525 6719850 7033443 7700850 9679050 11722405 14066886 21100329 23444810 35167215 42200658 58612025 70334430 105501645 117224050 175836075 211003290 351672150 527508225 1055016450