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1057113348 = 2231071395923
BaseRepresentation
bin111111000000100…
…100010100000100
32201200010220220020
4333000210110010
54131110111343
6252521335140
735124213054
oct7700442404
92650126806
101057113348
114a27929a5
122560374b0
1313b016275
14a0577564
1562c13b83
hex3f024504

1057113348 has 48 divisors (see below), whose sum is σ = 2507984640. Its totient is φ = 346508064.

The previous prime is 1057113341. The next prime is 1057113377. The reversal of 1057113348 is 8433117501.

It is a super-2 number, since 2×10571133482 = 2234977261039538208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057113341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175515 + ... + 181437.

It is an arithmetic number, because the mean of its divisors is an integer number (52249680).

Almost surely, 21057113348 is an apocalyptic number.

It is an amenable number.

1057113348 is an abundant number, since it is smaller than the sum of its proper divisors (1450871292).

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

1057113348 is a wasteful number, since it uses less digits than its factorization.

1057113348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1057113348 is about 32513.2795638951. The cubic root of 1057113348 is about 1018.6864251895.

The spelling of 1057113348 in words is "one billion, fifty-seven million, one hundred thirteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 107 139 214 278 321 417 428 556 642 834 1284 1668 5923 11846 14873 17769 23692 29746 35538 44619 59492 71076 89238 178476 633761 823297 1267522 1646594 1901283 2469891 2535044 3293188 3802566 4939782 7605132 9879564 88092779 176185558 264278337 352371116 528556674 1057113348