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10057983 = 313298893
BaseRepresentation
bin100110010111…
…100011111111
3200220222221220
4212113203333
510033323413
6555324423
7151330365
oct46274377
920828856
1010057983
11574a791
123450713
132112090
14149b635
15d3a223
hex9978ff

10057983 has 16 divisors (see below), whose sum is σ = 14941920. Its totient is φ = 5975424.

The previous prime is 10057967. The next prime is 10057987. The reversal of 10057983 is 38975001.

It is not a de Polignac number, because 10057983 - 24 = 10057967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057987) 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, 3316 + ... + 5577.

It is an arithmetic number, because the mean of its divisors is an integer number (933870).

Almost surely, 210057983 is an apocalyptic number.

10057983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10057983 is a deficient number, since it is larger than the sum of its proper divisors (4883937).

10057983 is a wasteful number, since it uses less digits than its factorization.

10057983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 10057983 is about 3171.4323262526. The cubic root of 10057983 is about 215.8590687333.

The spelling of 10057983 in words is "ten million, fifty-seven thousand, nine hundred eighty-three".

Divisors: 1 3 13 29 39 87 377 1131 8893 26679 115609 257897 346827 773691 3352661 10057983