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31444920 = 23325136719
BaseRepresentation
bin111011111110…
…0111110111000
32012011120022200
41313330332320
531022214140
63041550200
7531164103
oct167747670
965146280
1031444920
1116828041
12a645360
13668c880
14426773a
152b62030
hex1dfcfb8

31444920 has 96 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 7739136.

The previous prime is 31444901. The next prime is 31444937. The reversal of 31444920 is 2944413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321 + ... + 8039.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 231444920 is an apocalyptic number.

31444920 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 31444920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

31444920 is an abundant number, since it is smaller than the sum of its proper divisors (78628680).

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

31444920 is a wasteful number, since it uses less digits than its factorization.

31444920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31444920 is about 5607.5770168585. The cubic root of 31444920 is about 315.6337957226.

The spelling of 31444920 in words is "thirty-one million, four hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 6719 13438 20157 26876 33595 40314 53752 60471 67190 80628 87347 100785 120942 134380 161256 174694 201570 241884 262041 268760 302355 349388 403140 436735 483768 524082 604710 698776 786123 806280 873470 1048164 1209420 1310205 1572246 1746940 2096328 2418840 2620410 3144492 3493880 3930615 5240820 6288984 7861230 10481640 15722460 31444920