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31422960 = 24325192297
BaseRepresentation
bin111011111011…
…1100111110000
32012010110012100
41313313213300
531021013320
63041300400
7531043062
oct167674760
965113170
1031422960
1116812598
12a634700
13668288a
14425d732
152b5a790
hex1df79f0

31422960 has 120 divisors (see below), whose sum is σ = 111131280. Its totient is φ = 7934976.

The previous prime is 31422959. The next prime is 31422983. The reversal of 31422960 is 6922413.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12532 + ... + 14828.

It is an arithmetic number, because the mean of its divisors is an integer number (926094).

Almost surely, 231422960 is an apocalyptic number.

31422960 is a gapful number since it is divisible by the number (30) 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 31422960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55565640).

31422960 is an abundant number, since it is smaller than the sum of its proper divisors (79708320).

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

31422960 is a wasteful number, since it uses less digits than its factorization.

31422960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31422960 is about 5605.6186099306. The cubic root of 31422960 is about 315.5603028520.

The spelling of 31422960 in words is "thirty-one million, four hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2297 2736 3420 4560 4594 6840 6891 9188 11485 13680 13782 18376 20673 22970 27564 34455 36752 41346 43643 45940 55128 68910 82692 87286 91880 103365 110256 130929 137820 165384 174572 183760 206730 218215 261858 275640 330768 349144 392787 413460 436430 523716 551280 654645 698288 785574 826920 872860 1047432 1309290 1571148 1653840 1745720 1963935 2094864 2618580 3142296 3491440 3927870 5237160 6284592 7855740 10474320 15711480 31422960