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10875264 = 273127223
BaseRepresentation
bin101001011111…
…000110000000
3202110112001120
4221133012000
510241002024
61025032240
7161303211
oct51370600
922415046
1010875264
116158824
123785680
13233a08a
141631408
15e4c479
hexa5f180

10875264 has 64 divisors (see below), whose sum is σ = 29245440. Its totient is φ = 3580416.

The previous prime is 10875253. The next prime is 10875269. The reversal of 10875264 is 46257801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10875269) 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, 48657 + ... + 48879.

It is an arithmetic number, because the mean of its divisors is an integer number (456960).

Almost surely, 210875264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622720).

10875264 is an abundant number, since it is smaller than the sum of its proper divisors (18370176).

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

10875264 is a wasteful number, since it uses less digits than its factorization.

10875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10875264 is about 3297.7665169020. The cubic root of 10875264 is about 221.5541738619.

The spelling of 10875264 in words is "ten million, eight hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 223 254 381 384 446 508 669 762 892 1016 1338 1524 1784 2032 2676 3048 3568 4064 5352 6096 7136 8128 10704 12192 14272 16256 21408 24384 28321 28544 42816 48768 56642 84963 85632 113284 169926 226568 339852 453136 679704 906272 1359408 1812544 2718816 3625088 5437632 10875264