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10057971 = 371143541
BaseRepresentation
bin100110010111…
…100011110011
3200220222221110
4212113203303
510033323341
6555324403
7151330350
oct46274363
920828843
1010057971
11574a780
123450703
132112081
14149b627
15d3a216
hex9978f3

10057971 has 16 divisors (see below), whose sum is σ = 16720128. Its totient is φ = 5224800.

The previous prime is 10057967. The next prime is 10057987. The reversal of 10057971 is 17975001.

It is not a de Polignac number, because 10057971 - 22 = 10057967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10057921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21540 + ... + 22001.

It is an arithmetic number, because the mean of its divisors is an integer number (1045008).

Almost surely, 210057971 is an apocalyptic number.

10057971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10057971 is a deficient number, since it is larger than the sum of its proper divisors (6662157).

10057971 is a wasteful number, since it uses less digits than its factorization.

10057971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43562.

The product of its (nonzero) digits is 2205, while the sum is 30.

The square root of 10057971 is about 3171.4304343624. The cubic root of 10057971 is about 215.8589828874.

The spelling of 10057971 in words is "ten million, fifty-seven thousand, nine hundred seventy-one".

Divisors: 1 3 7 11 21 33 77 231 43541 130623 304787 478951 914361 1436853 3352657 10057971