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10831320 = 233453343
BaseRepresentation
bin101001010100…
…010111011000
3202101021210000
4221110113120
510233100240
61024053000
7161031123
oct51242730
922337700
1010831320
116128805
123764160
132323086
14161d3ba
15e3e430
hexa545d8

10831320 has 80 divisors (see below), whose sum is σ = 36416160. Its totient is φ = 2887488.

The previous prime is 10831309. The next prime is 10831391. The reversal of 10831320 is 2313801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 10831293 and 10831302.

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 19 ways as a sum of consecutive naturals, for example, 1569 + ... + 4911.

It is an arithmetic number, because the mean of its divisors is an integer number (455202).

Almost surely, 210831320 is an apocalyptic number.

10831320 is a gapful number since it is divisible by the number (10) 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 10831320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208080).

10831320 is an abundant number, since it is smaller than the sum of its proper divisors (25584840).

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

10831320 is a wasteful number, since it uses less digits than its factorization.

10831320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10831320 is about 3291.0970815216. The cubic root of 10831320 is about 221.2553575261.

The spelling of 10831320 in words is "ten million, eight hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3343 6686 10029 13372 16715 20058 26744 30087 33430 40116 50145 60174 66860 80232 90261 100290 120348 133720 150435 180522 200580 240696 270783 300870 361044 401160 451305 541566 601740 722088 902610 1083132 1203480 1353915 1805220 2166264 2707830 3610440 5415660 10831320