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31830920 = 2351173991
BaseRepresentation
bin111100101101…
…1001110001000
32012220011210222
41321123032020
531122042140
63054125212
7534362342
oct171331610
965804728
1031830920
1116a71050
12a7b0808
136796484
144328292
152bdb5b5
hex1e5b388

31830920 has 64 divisors (see below), whose sum is σ = 79280640. Its totient is φ = 11404800.

The previous prime is 31830907. The next prime is 31830937. The reversal of 31830920 is 2903813.

It is a self number, because there is not a number n which added to its sum of digits gives 31830920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31625 + ... + 32615.

It is an arithmetic number, because the mean of its divisors is an integer number (1238760).

Almost surely, 231830920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39640320).

31830920 is an abundant number, since it is smaller than the sum of its proper divisors (47449720).

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

31830920 is a wasteful number, since it uses less digits than its factorization.

31830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 31830920 is about 5641.8897543288. The cubic root of 31830920 is about 316.9200606479.

The spelling of 31830920 in words is "thirty-one million, eight hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 991 1460 1606 1982 2920 3212 3964 4015 4955 6424 7928 8030 9910 10901 16060 19820 21802 32120 39640 43604 54505 72343 87208 109010 144686 218020 289372 361715 436040 578744 723430 795773 1446860 1591546 2893720 3183092 3978865 6366184 7957730 15915460 31830920