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10057905 = 3351113521
BaseRepresentation
bin100110010111…
…100010110001
3200220222212000
4212113202301
510033323110
6555324213
7151330224
oct46274261
920828760
1010057905
11574a720
123450669
132112030
14149b5bb
15d3a1c0
hex9978b1

10057905 has 64 divisors (see below), whose sum is σ = 21047040. Its totient is φ = 4492800.

The previous prime is 10057889. The next prime is 10057913. The reversal of 10057905 is 50975001.

10057905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10057905 - 24 = 10057889 is a prime.

It is a super-2 number, since 2×100579052 = 202322905978050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19045 + ... + 19565.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 210057905 is an apocalyptic number.

10057905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10057905 is an abundant number, since it is smaller than the sum of its proper divisors (10989135).

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

10057905 is a wasteful number, since it uses less digits than its factorization.

10057905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 10057905 is about 3171.4200289460. The cubic root of 10057905 is about 215.8585107338.

The spelling of 10057905 in words is "ten million, fifty-seven thousand, nine hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 521 585 715 1287 1485 1563 1755 2145 2605 3861 4689 5731 6435 6773 7815 14067 17193 19305 20319 23445 28655 33865 51579 60957 70335 74503 85965 101595 154737 182871 223509 257895 304785 372515 670527 773685 914355 1117545 2011581 3352635 10057905