Search a number
-
+
31305996 = 223219371237
BaseRepresentation
bin111011101101…
…1000100001100
32011220111202100
41313123010030
531003242441
63034555100
7530045061
oct167330414
964814670
1031305996
1116742727
12a598a90
136641577
14422cc68
152b35cb6
hex1ddb10c

31305996 has 72 divisors (see below), whose sum is σ = 85620080. Its totient is φ = 9611136.

The previous prime is 31305973. The next prime is 31306031. The reversal of 31305996 is 69950313.

31305996 is a `hidden beast` number, since 31 + 30 + 599 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31305996.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24690 + ... + 25926.

Almost surely, 231305996 is an apocalyptic number.

31305996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31305996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810040).

31305996 is an abundant number, since it is smaller than the sum of its proper divisors (54314084).

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

31305996 is a wasteful number, since it uses less digits than its factorization.

31305996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 31305996 is about 5595.1761366377. The cubic root of 31305996 is about 315.1682849853.

The spelling of 31305996 in words is "thirty-one million, three hundred five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1237 1332 1406 2109 2474 2812 3711 4218 4948 6327 7422 8436 11133 12654 14844 22266 23503 25308 44532 45769 47006 70509 91538 94012 137307 141018 183076 211527 274614 282036 411921 423054 549228 823842 846108 869611 1647684 1739222 2608833 3478444 5217666 7826499 10435332 15652998 31305996