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10623920 = 24541279
BaseRepresentation
bin101000100001…
…101110110000
3201222202021112
4220201232300
510204431140
61015412452
7156205346
oct50415660
921882245
1010623920
115aa69aa
123684128
13227c858
1415a7996
15decc65
hexa21bb0

10623920 has 60 divisors (see below), whose sum is σ = 25638240. Its totient is φ = 4093440.

The previous prime is 10623919. The next prime is 10623937. The reversal of 10623920 is 2932601.

It is a super-2 number, since 2×106239202 = 225735352332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134441 + ... + 134519.

It is an arithmetic number, because the mean of its divisors is an integer number (427304).

Almost surely, 210623920 is an apocalyptic number.

10623920 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 10623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819120).

10623920 is an abundant number, since it is smaller than the sum of its proper divisors (15014320).

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

10623920 is an equidigital number, since it uses as much as digits as its factorization.

10623920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 10623920 is about 3259.4355339537. The cubic root of 10623920 is about 219.8340346088.

The spelling of 10623920 in words is "ten million, six hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 79 80 82 158 164 205 316 328 395 410 632 656 790 820 1264 1580 1640 1681 3160 3239 3280 3362 6320 6478 6724 8405 12956 13448 16195 16810 25912 26896 32390 33620 51824 64780 67240 129560 132799 134480 259120 265598 531196 663995 1062392 1327990 2124784 2655980 5311960 10623920