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1057003720 = 235124921157
BaseRepresentation
bin111111000000001…
…001100011001000
32201122221100111221
4333000021203020
54131043104340
6252515131424
735123245333
oct7700114310
92648840457
101057003720
114a27185a3
12255ba3b74
1313aca83b6
14a054961a
1562be144a
hex3f0098c8

1057003720 has 32 divisors (see below), whose sum is σ = 2380275000. Its totient is φ = 422443008.

The previous prime is 1057003691. The next prime is 1057003723. The reversal of 1057003720 is 273007501.

It can be written as a sum of positive squares in 4 ways, for example, as 492751204 + 564252516 = 22198^2 + 23754^2 .

It is a super-2 number, since 2×10570037202 = 2234513728187676800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057003723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39382 + ... + 60538.

Almost surely, 21057003720 is an apocalyptic number.

1057003720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057003720 is an abundant number, since it is smaller than the sum of its proper divisors (1323271280).

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

1057003720 is a wasteful number, since it uses less digits than its factorization.

1057003720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22417 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 1057003720 is about 32511.5936244288. The cubic root of 1057003720 is about 1018.6512096609.

The spelling of 1057003720 in words is "one billion, fifty-seven million, three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1249 2498 4996 6245 9992 12490 21157 24980 42314 49960 84628 105785 169256 211570 423140 846280 26425093 52850186 105700372 132125465 211400744 264250930 528501860 1057003720