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1057903470 = 2335131929547
BaseRepresentation
bin111111000011100…
…101001101101110
32201201122001202000
4333003211031232
54131310402340
6252550313130
735134013451
oct7703451556
92651561660
101057903470
114a3182598
122563587a6
1313b231ab0
14a0701498
1562d1cd30
hex3f0e536e

1057903470 has 256 divisors, whose sum is σ = 3314304000. Its totient is φ = 237758976.

The previous prime is 1057903463. The next prime is 1057903507. The reversal of 1057903470 is 743097501.

It is a happy number.

1057903470 is a `hidden beast` number, since 10 + 579 + 0 + 3 + 4 + 70 = 666.

It is a super-2 number, since 2×10579034702 = 2238319503676081800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1933737 + ... + 1934283.

It is an arithmetic number, because the mean of its divisors is an integer number (12946500).

Almost surely, 21057903470 is an apocalyptic number.

1057903470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057903470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657152000).

1057903470 is an abundant number, since it is smaller than the sum of its proper divisors (2256400530).

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

1057903470 is a wasteful number, since it uses less digits than its factorization.

1057903470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1057903470 is about 32525.4280525253. The cubic root of 1057903470 is about 1018.9401621255.

The spelling of 1057903470 in words is "one billion, fifty-seven million, nine hundred three thousand, four hundred seventy".