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10875296 = 251931577
BaseRepresentation
bin101001011111…
…000110100000
3202110112002202
4221133012200
510241002141
61025032332
7161303255
oct51370640
922415082
1010875296
116158853
1237856a8
13233a0b3
14163142c
15e4c49b
hexa5f1a0

10875296 has 48 divisors (see below), whose sum is σ = 23304960. Its totient is φ = 4976640.

The previous prime is 10875287. The next prime is 10875307. The reversal of 10875296 is 69257801.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18560 + ... + 19136.

It is an arithmetic number, because the mean of its divisors is an integer number (485520).

Almost surely, 210875296 is an apocalyptic number.

10875296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10875296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652480).

10875296 is an abundant number, since it is smaller than the sum of its proper divisors (12429664).

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

10875296 is a wasteful number, since it uses less digits than its factorization.

10875296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 10875296 is about 3297.7713686670. The cubic root of 10875296 is about 221.5543911662.

The spelling of 10875296 in words is "ten million, eight hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 577 589 608 992 1154 1178 2308 2356 4616 4712 9232 9424 10963 17887 18464 18848 21926 35774 43852 71548 87704 143096 175408 286192 339853 350816 572384 679706 1359412 2718824 5437648 10875296