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31509980 = 22519101821
BaseRepresentation
bin111100000110…
…0110111011100
32012021212120022
41320030313130
531031304410
63043211312
7531554555
oct170146734
965255508
1031509980
1116871a07
12a676b38
1366b3378
14428332c
152b76455
hex1e0cddc

31509980 has 48 divisors (see below), whose sum is σ = 70428960. Its totient is φ = 11808000.

The previous prime is 31509971. The next prime is 31509991. The reversal of 31509980 is 8990513.

It is a self number, because there is not a number n which added to its sum of digits gives 31509980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37970 + ... + 38790.

It is an arithmetic number, because the mean of its divisors is an integer number (1467270).

Almost surely, 231509980 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 31509980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35214480).

31509980 is an abundant number, since it is smaller than the sum of its proper divisors (38918980).

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

31509980 is a wasteful number, since it uses less digits than its factorization.

31509980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 31509980 is about 5613.3750988153. The cubic root of 31509980 is about 315.8513294133.

The spelling of 31509980 in words is "thirty-one million, five hundred nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 821 1010 1642 1919 2020 3284 3838 4105 7676 8210 9595 15599 16420 19190 31198 38380 62396 77995 82921 155990 165842 311980 331684 414605 829210 1575499 1658420 3150998 6301996 7877495 15754990 31509980