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1057146330 = 23535238211
BaseRepresentation
bin111111000000101…
…100010111011010
32201200012121010210
4333000230113122
54131112140310
6252522151550
735124411162
oct7700542732
92650177123
101057146330
114a2805759
122560525b6
1313b028296
14a05855a2
1562c1d820
hex3f02c5da

1057146330 has 16 divisors (see below), whose sum is σ = 2537151264. Its totient is φ = 281905680.

The previous prime is 1057146329. The next prime is 1057146341. The reversal of 1057146330 is 336417501.

It is a super-2 number, since 2×10571463302 = 2235116726064937800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 35238211 = 1057146330 / (1 + 0 + 5 + 7 + 1 + 4 + 6 + 3 + 3 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17619076 + ... + 17619135.

It is an arithmetic number, because the mean of its divisors is an integer number (158571954).

Almost surely, 21057146330 is an apocalyptic number.

1057146330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057146330 is an abundant number, since it is smaller than the sum of its proper divisors (1480004934).

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

1057146330 is a wasteful number, since it uses less digits than its factorization.

1057146330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35238221.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1057146330 is about 32513.7867680773. The cubic root of 1057146330 is about 1018.6970194386.

The spelling of 1057146330 in words is "one billion, fifty-seven million, one hundred forty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 35238211 70476422 105714633 176191055 211429266 352382110 528573165 1057146330