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10056375 = 325371277
BaseRepresentation
bin100110010111…
…001010110111
3200220220202100
4212113022313
510033301000
6555313143
7151322610
oct46271267
920826670
1010056375
11574955a
12344b7b3
132111424
14149ac07
15d39a00
hex9972b7

10056375 has 48 divisors (see below), whose sum is σ = 20734272. Its totient is φ = 4593600.

The previous prime is 10056353. The next prime is 10056383. The reversal of 10056375 is 57365001.

10056375 = T337 + T338 + ... + T461.

It is not a de Polignac number, because 10056375 - 26 = 10056311 is a prime.

It is a super-2 number, since 2×100563752 = 202261356281250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7237 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (431964).

Almost surely, 210056375 is an apocalyptic number.

10056375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10056375 is an abundant number, since it is smaller than the sum of its proper divisors (10677897).

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

10056375 is a wasteful number, since it uses less digits than its factorization.

10056375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10056375 is about 3171.1788029059. The cubic root of 10056375 is about 215.8475647740.

The spelling of 10056375 in words is "ten million, fifty-six thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1277 1575 2625 3831 6385 7875 8939 11493 19155 26817 31925 44695 57465 80451 95775 134085 159625 223475 287325 402255 478875 670425 1117375 1436625 2011275 3352125 10056375