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10861344 = 253313967
BaseRepresentation
bin101001011011…
…101100100000
3202102210222000
4221123230200
510240030334
61024444000
7161214504
oct51335440
922383860
1010861344
11614931a
123779600
132333940
14162a304
15e48299
hexa5bb20

10861344 has 96 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 3338496.

The previous prime is 10861339. The next prime is 10861363. The reversal of 10861344 is 44316801.

10861344 is a `hidden beast` number, since 1 + 0 + 8 + 613 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10749 + ... + 11715.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 210861344 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 10861344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

10861344 is an abundant number, since it is smaller than the sum of its proper divisors (23289696).

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

10861344 is a wasteful number, since it uses less digits than its factorization.

10861344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10861344 is about 3295.6553217835. The cubic root of 10861344 is about 221.4596060163.

The spelling of 10861344 in words is "ten million, eight hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 967 1248 1404 1872 1934 2808 2901 3744 3868 5616 5802 7736 8703 11232 11604 12571 15472 17406 23208 25142 26109 30944 34812 37713 46416 50284 52218 69624 75426 92832 100568 104436 113139 139248 150852 201136 208872 226278 278496 301704 339417 402272 417744 452556 603408 678834 835488 905112 1206816 1357668 1810224 2715336 3620448 5430672 10861344