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31712680 = 2354161317
BaseRepresentation
bin111100011111…
…0010110101000
32012200011121201
41320332112220
531104301210
63051413544
7533360536
oct170762650
965604551
1031712680
11169a022a
12a7542b4
1367546cc
1442d7156
152bb653a
hex1e3e5a8

31712680 has 64 divisors (see below), whose sum is σ = 74526480. Its totient is φ = 12134400.

The previous prime is 31712657. The next prime is 31712683. The reversal of 31712680 is 8621713.

It can be written as a sum of positive squares in 8 ways, for example, as 643204 + 31069476 = 802^2 + 5574^2 .

It is not an unprimeable number, because it can be changed into a prime (31712683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99882 + ... + 100198.

Almost surely, 231712680 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 31712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37263240).

31712680 is an abundant number, since it is smaller than the sum of its proper divisors (42813800).

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

31712680 is a wasteful number, since it uses less digits than its factorization.

31712680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 31712680 is about 5631.4012465815. The cubic root of 31712680 is about 316.5271604646.

It can be divided in two parts, 317126 and 80, that added together give a triangular number (317206 = T796).

The spelling of 31712680 in words is "thirty-one million, seven hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 317 328 410 488 610 634 820 1220 1268 1585 1640 2440 2501 2536 3170 5002 6340 10004 12505 12680 12997 19337 20008 25010 25994 38674 50020 51988 64985 77348 96685 100040 103976 129970 154696 193370 259940 386740 519880 773480 792817 1585634 3171268 3964085 6342536 7928170 15856340 31712680