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31630872 = 23372132069
BaseRepresentation
bin111100010101…
…0011000011000
32012112000101210
41320222120120
531044141442
63045543120
7532600200
oct170523030
965460353
1031630872
1116944819
12a714aa0
1367263c0
1442b5400
152b9c19c
hex1e2a618

31630872 has 96 divisors (see below), whose sum is σ = 99111600. Its totient is φ = 8338176.

The previous prime is 31630871. The next prime is 31630883. The reversal of 31630872 is 27803613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31630871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14254 + ... + 16322.

Almost surely, 231630872 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 31630872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49555800).

31630872 is an abundant number, since it is smaller than the sum of its proper divisors (67480728).

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

31630872 is a wasteful number, since it uses less digits than its factorization.

31630872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 31630872 is about 5624.1329998498. The cubic root of 31630872 is about 316.2547483755.

The spelling of 31630872 in words is "thirty-one million, six hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2069 2184 2548 3822 4138 5096 6207 7644 8276 12414 14483 15288 16552 24828 26897 28966 43449 49656 53794 57932 80691 86898 101381 107588 115864 161382 173796 188279 202762 215176 304143 322764 347592 376558 405524 564837 608286 645528 753116 811048 1129674 1216572 1317953 1506232 2259348 2433144 2635906 3953859 4518696 5271812 7907718 10543624 15815436 31630872