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1057999872 = 2103479719
BaseRepresentation
bin111111000011111…
…100110000000000
32201201210221222110
4333003330300000
54131321443442
6252552335320
735134564506
oct7703746000
92651727873
101057999872
114a3238a66
122563a4540
1313b266937
14a0728676
1562d3b69c
hex3f0fcc00

1057999872 has 88 divisors (see below), whose sum is σ = 2829772800. Its totient is φ = 351440896.

The previous prime is 1057999861. The next prime is 1057999883. The reversal of 1057999872 is 2789997501.

It is an interprime number because it is at equal distance from previous prime (1057999861) and next prime (1057999883).

It is a super-2 number, since 2×10579998722 = 2238727458304032768, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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, 1471129 + ... + 1471847.

Almost surely, 21057999872 is an apocalyptic number.

1057999872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414886400).

1057999872 is an abundant number, since it is smaller than the sum of its proper divisors (1771772928).

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

1057999872 is an equidigital number, since it uses as much as digits as its factorization.

1057999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 57.

The square root of 1057999872 is about 32526.9099669796. The cubic root of 1057999872 is about 1018.9711116682.

The spelling of 1057999872 in words is "one billion, fifty-seven million, nine hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 479 512 719 768 958 1024 1437 1438 1536 1916 2157 2874 2876 3072 3832 4314 5748 5752 7664 8628 11496 11504 15328 17256 22992 23008 30656 34512 45984 46016 61312 69024 91968 92032 122624 138048 183936 184064 245248 276096 344401 367872 368128 490496 552192 688802 735744 736256 1033203 1104384 1377604 1471488 2066406 2208768 2755208 4132812 5510416 8265624 11020832 16531248 22041664 33062496 44083328 66124992 88166656 132249984 176333312 264499968 352666624 528999936 1057999872