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1057063400 = 235217310901
BaseRepresentation
bin111111000000011…
…000000111101000
32201200001101101022
4333000120013220
54131102012100
6252520312012
735123614331
oct7700300750
92650041338
101057063400
114a2759418
12256012608
1313acc9603
14a0563288
1562c03e85
hex3f0181e8

1057063400 has 48 divisors (see below), whose sum is σ = 2602249740. Its totient is φ = 397952000.

The previous prime is 1057063387. The next prime is 1057063439. The reversal of 1057063400 is 43607501.

It can be written as a sum of positive squares in 6 ways, for example, as 592143556 + 464919844 = 24334^2 + 21562^2 .

It is a super-2 number, since 2×10570634002 = 2234766063239120000, 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 1057063400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152051 + ... + 158850.

Almost surely, 21057063400 is an apocalyptic number.

1057063400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057063400 is an abundant number, since it is smaller than the sum of its proper divisors (1545186340).

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

1057063400 is a wasteful number, since it uses less digits than its factorization.

1057063400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310934 (or 310925 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1057063400 is about 32512.5114379065. The cubic root of 1057063400 is about 1018.6703808202.

The spelling of 1057063400 in words is "one billion, fifty-seven million, sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 310901 621802 1243604 1554505 2487208 3109010 5285317 6218020 7772525 10570634 12436040 15545050 21141268 26426585 31090100 42282536 52853170 62180200 105706340 132132925 211412680 264265850 528531700 1057063400