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31497940 = 2251792641
BaseRepresentation
bin111100000100…
…1111011010100
32012021021001101
41320021323110
531030413230
63043035444
7531504505
oct170117324
965237041
1031497940
1116863961
12a66bb84
1366aaa46
14427cbac
152b72aca
hex1e09ed4

31497940 has 24 divisors (see below), whose sum is σ = 70037352. Its totient is φ = 11857920.

The previous prime is 31497931. The next prime is 31497941. The reversal of 31497940 is 4979413.

It can be written as a sum of positive squares in 4 ways, for example, as 16613776 + 14884164 = 4076^2 + 3858^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31497940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31497941) 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 7 ways as a sum of consecutive naturals, for example, 45981 + ... + 46660.

It is an arithmetic number, because the mean of its divisors is an integer number (2918223).

Almost surely, 231497940 is an apocalyptic number.

It is an amenable number.

31497940 is an abundant number, since it is smaller than the sum of its proper divisors (38539412).

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

31497940 is a wasteful number, since it uses less digits than its factorization.

31497940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92667 (or 92665 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 31497940 is about 5612.3025577743. The cubic root of 31497940 is about 315.8110952350.

The spelling of 31497940 in words is "thirty-one million, four hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 92641 185282 370564 463205 926410 1574897 1852820 3149794 6299588 7874485 15748970 31497940