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31318980 = 22357116779
BaseRepresentation
bin111011101111…
…0001111000100
32011221011120020
41313132033010
531004201410
63035135140
7530130660
oct167361704
964834506
1031318980
1116751460
12a5a44b0
136647454
1442338a0
152b39a70
hex1dde3c4

31318980 has 96 divisors (see below), whose sum is σ = 109347840. Its totient is φ = 6506880.

The previous prime is 31318961. The next prime is 31318999. The reversal of 31318980 is 8981313.

It is an interprime number because it is at equal distance from previous prime (31318961) and next prime (31318999).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (1139040).

Almost surely, 231318980 is an apocalyptic number.

31318980 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 31318980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54673920).

31318980 is an abundant number, since it is smaller than the sum of its proper divisors (78028860).

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

31318980 is a wasteful number, since it uses less digits than its factorization.

31318980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 31318980 is about 5596.3363015459. The cubic root of 31318980 is about 315.2118504353.

The spelling of 31318980 in words is "thirty-one million, three hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 6779 13558 20337 27116 33895 40674 47453 67790 74569 81348 94906 101685 135580 142359 149138 189812 203370 223707 237265 284718 298276 372845 406740 447414 474530 521983 569436 711795 745690 894828 949060 1043966 1118535 1423590 1491380 1565949 2087932 2237070 2609915 2847180 3131898 4474140 5219830 6263796 7829745 10439660 15659490 31318980