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31357980 = 223251953173
BaseRepresentation
bin111011110011…
…1110000011100
32012000011001200
41313213300130
531011423410
63040035500
7530352453
oct167476034
965004050
1031357980
1116778795
12a602b90
13665c124
144243b9a
152b463c0
hex1de7c1c

31357980 has 144 divisors (see below), whose sum is σ = 102604320. Its totient is φ = 7727616.

The previous prime is 31357967. The next prime is 31358009. The reversal of 31357980 is 8975313.

31357980 is a `hidden beast` number, since 3 + 1 + 3 + 579 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181174 + ... + 181346.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 231357980 is an apocalyptic number.

31357980 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 31357980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302160).

31357980 is an abundant number, since it is smaller than the sum of its proper divisors (71246340).

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

31357980 is a wasteful number, since it uses less digits than its factorization.

31357980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 31357980 is about 5599.8196399527. The cubic root of 31357980 is about 315.3426354838.

The spelling of 31357980 in words is "thirty-one million, three hundred fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 173 180 190 212 228 265 285 318 342 346 380 477 519 530 570 636 684 692 795 855 865 954 1007 1038 1060 1140 1557 1590 1710 1730 1908 2014 2076 2385 2595 3021 3114 3180 3287 3420 3460 4028 4770 5035 5190 6042 6228 6574 7785 9063 9169 9540 9861 10070 10380 12084 13148 15105 15570 16435 18126 18338 19722 20140 27507 29583 30210 31140 32870 36252 36676 39444 45315 45845 49305 55014 59166 60420 65740 82521 90630 91690 98610 110028 118332 137535 147915 165042 174211 181260 183380 197220 275070 295830 330084 348422 412605 522633 550140 591660 696844 825210 871055 1045266 1567899 1650420 1742110 2090532 2613165 3135798 3484220 5226330 6271596 7839495 10452660 15678990 31357980