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1055157376 = 27721312941
BaseRepresentation
bin111110111001000…
…110110010000000
32201112110112210211
4332321012302000
54130110014001
6252411403504
735101455400
oct7671066200
92645415724
101055157376
114a1677399
12255453594
1313a7acba0
14a01c8800
1562979351
hex3ee46c80

1055157376 has 96 divisors (see below), whose sum is σ = 2633567580. Its totient is φ = 417392640.

The previous prime is 1055157371. The next prime is 1055157409. The reversal of 1055157376 is 6737515501.

It can be written as a sum of positive squares in 2 ways, for example, as 1051315776 + 3841600 = 32424^2 + 1960^2 .

It is a super-2 number, since 2×10551573762 = 2226714176254410752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055157371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75066 + ... + 88006.

Almost surely, 21055157376 is an apocalyptic number.

1055157376 is a gapful number since it is divisible by the number (16) 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 1055157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316783790).

1055157376 is an abundant number, since it is smaller than the sum of its proper divisors (1578410204).

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

1055157376 is a wasteful number, since it uses less digits than its factorization.

1055157376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 40.

The square root of 1055157376 is about 32483.1860506324. The cubic root of 1055157376 is about 1018.0577470031.

The spelling of 1055157376 in words is "one billion, fifty-five million, one hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 2548 2912 3136 5096 5824 6272 10192 11648 12941 20384 25882 40768 51764 81536 90587 103528 168233 181174 207056 336466 362348 414112 634109 672932 724696 828224 1177631 1268218 1345864 1449392 1656448 2355262 2536436 2691728 2898784 4710524 5072872 5383456 5797568 8243417 9421048 10145744 10766912 11595136 16486834 18842096 20291488 21533824 32973668 37684192 40582976 65947336 75368384 81165952 131894672 150736768 263789344 527578688 1055157376