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1057739904 = 27331321811
BaseRepresentation
bin111111000010111…
…101010010000000
32201201022202101000
4333002331102000
54131240134104
6252543012000
735132432544
oct7702752200
92651282330
101057739904
114a3080711
1225629a000
1313b1a5500
14a069ba24
1562cd9639
hex3f0bd480

1057739904 has 192 divisors, whose sum is σ = 3382279200. Its totient is φ = 325278720.

The previous prime is 1057739897. The next prime is 1057739911. The reversal of 1057739904 is 4099377501.

It is an interprime number because it is at equal distance from previous prime (1057739897) and next prime (1057739911).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10577399042 = 2237627409027858432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057739904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583159 + ... + 584969.

Almost surely, 21057739904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057739904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691139600).

1057739904 is an abundant number, since it is smaller than the sum of its proper divisors (2324539296).

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

1057739904 is a wasteful number, since it uses less digits than its factorization.

1057739904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 1057739904 is about 32522.9135226228. The cubic root of 1057739904 is about 1018.8876455013.

The spelling of 1057739904 in words is "one billion, fifty-seven million, seven hundred thirty-nine thousand, nine hundred four".