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1055015460 = 2232511351869
BaseRepresentation
bin111110111000100…
…100001000100100
32201112012100010200
4332320210020210
54130040443320
6252404350500
735100324552
oct7670441044
92645170120
101055015460
114a158a804
122553a5430
1313a760405
14a018cbd2
156294c290
hex3ee24224

1055015460 has 72 divisors (see below), whose sum is σ = 3228596280. Its totient is φ = 278842368.

The previous prime is 1055015459. The next prime is 1055015473. The reversal of 1055015460 is 645105501.

It is a happy number.

1055015460 is a `hidden beast` number, since 1 + 0 + 550 + 1 + 54 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49871844 + 1005143616 = 7062^2 + 31704^2 .

It is a super-2 number, since 2×10550154602 = 2226115241678023200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5595 + ... + 46274.

It is an arithmetic number, because the mean of its divisors is an integer number (44841615).

Almost surely, 21055015460 is an apocalyptic number.

1055015460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055015460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614298140).

1055015460 is an abundant number, since it is smaller than the sum of its proper divisors (2173580820).

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

1055015460 is a wasteful number, since it uses less digits than its factorization.

1055015460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51997 (or 51992 counting only the distinct ones).

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

The square root of 1055015460 is about 32481.0015239678. The cubic root of 1055015460 is about 1018.0121028921.

The spelling of 1055015460 in words is "one billion, fifty-five million, fifteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 51869 103738 155607 207476 259345 311214 466821 518690 622428 778035 933642 1037380 1556070 1867284 2334105 3112140 4668210 5861197 9336420 11722394 17583591 23444788 29305985 35167182 52750773 58611970 70334364 87917955 105501546 117223940 175835910 211003092 263753865 351671820 527507730 1055015460