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10057960 = 2351122859
BaseRepresentation
bin100110010111…
…100011101000
3200220222221001
4212113203220
510033323320
6555324344
7151330333
oct46274350
920828831
1010057960
11574a770
1234506b4
132112073
14149b61a
15d3a20a
hex9978e8

10057960 has 32 divisors (see below), whose sum is σ = 24688800. Its totient is φ = 3657280.

The previous prime is 10057951. The next prime is 10057961. The reversal of 10057960 is 6975001.

It is a happy number.

10057960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10057961) 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, 10990 + ... + 11869.

It is an arithmetic number, because the mean of its divisors is an integer number (771525).

Almost surely, 210057960 is an apocalyptic number.

10057960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10057960 is an abundant number, since it is smaller than the sum of its proper divisors (14630840).

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

10057960 is a wasteful number, since it uses less digits than its factorization.

10057960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22881 (or 22877 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 10057960 is about 3171.4287001287. The cubic root of 10057960 is about 215.8589041953.

The spelling of 10057960 in words is "ten million, fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 22859 45718 91436 114295 182872 228590 251449 457180 502898 914360 1005796 1257245 2011592 2514490 5028980 10057960