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31287072 = 25317191009
BaseRepresentation
bin111011101011…
…0011100100000
32011212112210110
41313112130200
531002141242
63034331320
7526635645
oct167263440
964775713
1031287072
111672a493
12a589b40
136635a7b
144225dcc
152b3039c
hex1dd6720

31287072 has 96 divisors (see below), whose sum is σ = 91627200. Its totient is φ = 9289728.

The previous prime is 31287071. The next prime is 31287077. The reversal of 31287072 is 27078213.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (31287071) by changing a digit.

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, 30504 + ... + 31512.

It is an arithmetic number, because the mean of its divisors is an integer number (954450).

Almost surely, 231287072 is an apocalyptic number.

31287072 is a gapful number since it is divisible by the number (32) 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 31287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45813600).

31287072 is an abundant number, since it is smaller than the sum of its proper divisors (60340128).

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

31287072 is a wasteful number, since it uses less digits than its factorization.

31287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 31287072 is about 5593.4847814220. The cubic root of 31287072 is about 315.1047673682.

The spelling of 31287072 in words is "thirty-one million, two hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1009 1292 1632 1824 1938 2018 2584 3027 3876 4036 5168 6054 7752 8072 10336 12108 15504 16144 17153 19171 24216 31008 32288 34306 38342 48432 51459 57513 68612 76684 96864 102918 115026 137224 153368 205836 230052 274448 306736 325907 411672 460104 548896 613472 651814 823344 920208 977721 1303628 1646688 1840416 1955442 2607256 3910884 5214512 7821768 10429024 15643536 31287072