Search a number
-
+
31329320 = 2351126473
BaseRepresentation
bin111011110000…
…0110000101000
32011221200202012
41313200300220
531010014240
63035255052
7530203061
oct167406050
964850665
1031329320
1116759200
12a5aa488
13664c079
144237568
152b3cb65
hex1de0c28

31329320 has 48 divisors (see below), whose sum is σ = 77493780. Its totient is φ = 11390720.

The previous prime is 31329281. The next prime is 31329341. The reversal of 31329320 is 2392313.

It can be written as a sum of positive squares in 2 ways, for example, as 29528356 + 1800964 = 5434^2 + 1342^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1604 + ... + 8076.

Almost surely, 231329320 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 31329320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38746890).

31329320 is an abundant number, since it is smaller than the sum of its proper divisors (46164460).

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

31329320 is a wasteful number, since it uses less digits than its factorization.

31329320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 31329320 is about 5597.2600439858. The cubic root of 31329320 is about 315.2465358126.

It can be divided in two parts, 313293 and 20, that added together give a palindrome (313313).

The spelling of 31329320 in words is "thirty-one million, three hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 6473 12946 25892 32365 51784 64730 71203 129460 142406 258920 284812 356015 569624 712030 783233 1424060 1566466 2848120 3132932 3916165 6265864 7832330 15664660 31329320