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10313856 = 273271279
BaseRepresentation
bin100111010110…
…000010000000
3201101222221200
4213112002000
510120020411
61005021200
7153444360
oct47260200
921358850
1010313856
115904a53
123554800
1321a1697
1415269a0
15d8ae56
hex9d6080

10313856 has 96 divisors (see below), whose sum is σ = 33945600. Its totient is φ = 2944512.

The previous prime is 10313839. The next prime is 10313857. The reversal of 10313856 is 65831301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7425 + ... + 8703.

It is an arithmetic number, because the mean of its divisors is an integer number (353600).

Almost surely, 210313856 is an apocalyptic number.

10313856 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 10313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972800).

10313856 is an abundant number, since it is smaller than the sum of its proper divisors (23631744).

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

10313856 is a wasteful number, since it uses less digits than its factorization.

10313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10313856 is about 3211.5192666400. The cubic root of 10313856 is about 217.6742321706.

The spelling of 10313856 in words is "ten million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1279 1344 2016 2558 2688 3837 4032 5116 7674 8064 8953 10232 11511 15348 17906 20464 23022 26859 30696 35812 40928 46044 53718 61392 71624 80577 81856 92088 107436 122784 143248 161154 163712 184176 214872 245568 286496 322308 368352 429744 491136 572992 644616 736704 859488 1145984 1289232 1473408 1718976 2578464 3437952 5156928 10313856