Search a number
-
+
31362940 = 2257232003
BaseRepresentation
bin111011110100…
…0111101111100
32012000101212101
41313220331330
531012103230
63040114444
7530403100
oct167507574
965011771
1031362940
1116781494
12a605a24
13666146b
144245900
152b47aca
hex1de8f7c

31362940 has 36 divisors (see below), whose sum is σ = 76617576. Its totient is φ = 10752672.

The previous prime is 31362911. The next prime is 31362941. The reversal of 31362940 is 4926313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31362899 and 31362908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31362941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15022 + ... + 16981.

It is an arithmetic number, because the mean of its divisors is an integer number (2128266).

Almost surely, 231362940 is an apocalyptic number.

It is an amenable number.

31362940 is an abundant number, since it is smaller than the sum of its proper divisors (45254636).

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

31362940 is a wasteful number, since it uses less digits than its factorization.

31362940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32026 (or 32017 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 31362940 is about 5600.2624938479. The cubic root of 31362940 is about 315.3592608852.

The spelling of 31362940 in words is "thirty-one million, three hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 32003 64006 128012 160015 224021 320030 448042 640060 896084 1120105 1568147 2240210 3136294 4480420 6272588 7840735 15681470 31362940