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1065778420 = 225722937501
BaseRepresentation
bin111111100001100…
…111110011110100
32202021110011010211
4333201213303310
54140314402140
6253431155204
735260652500
oct7741476364
92667404124
101065778420
114a7671113
12258b15b04
1313ca5b325
14a1791300
15638762ea
hex3f867cf4

1065778420 has 72 divisors (see below), whose sum is σ = 2693393640. Its totient is φ = 352800000.

The previous prime is 1065778411. The next prime is 1065778423. The reversal of 1065778420 is 248775601.

It can be written as a sum of positive squares in 4 ways, for example, as 77053284 + 988725136 = 8778^2 + 31444^2 .

It is a super-2 number, since 2×10657784202 = 2271767281075392800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065778423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9670 + ... + 47170.

It is an arithmetic number, because the mean of its divisors is an integer number (37408245).

Almost surely, 21065778420 is an apocalyptic number.

1065778420 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 1065778420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346696820).

1065778420 is an abundant number, since it is smaller than the sum of its proper divisors (1627615220).

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

1065778420 is a wasteful number, since it uses less digits than its factorization.

1065778420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37553 (or 37544 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 1065778420 is about 32646.2619605982. The cubic root of 1065778420 is about 1021.4622178475.

The spelling of 1065778420 in words is "one billion, sixty-five million, seven hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 28420 37501 75002 150004 187505 262507 375010 525014 750020 1050028 1087529 1312535 1837549 2175058 2625070 3675098 4350116 5250140 5437645 7350196 7612703 9187745 10875290 15225406 18375490 21750580 30450812 36750980 38063515 53288921 76127030 106577842 152254060 213155684 266444605 532889210 1065778420