Search a number
-
+
31137912 = 2333132853
BaseRepresentation
bin111011011001…
…0000001111000
32011120222012000
41312302001320
530432403122
63031221000
7525445041
oct166620170
964528160
1031137912
1116638413
12a517760
1365b2c00
1441c78c8
152b010ac
hex1db2078

31137912 has 96 divisors (see below), whose sum is σ = 93769200. Its totient is φ = 9569664.

The previous prime is 31137889. The next prime is 31137913. The reversal of 31137912 is 21973113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31137913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36078 + ... + 36930.

Almost surely, 231137912 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 31137912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884600).

31137912 is an abundant number, since it is smaller than the sum of its proper divisors (62631288).

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

31137912 is a wasteful number, since it uses less digits than its factorization.

31137912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 871 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 31137912 is about 5580.1354822262. The cubic root of 31137912 is about 314.6032192371.

It can be divided in two parts, 3113 and 7912, that added together give a square (11025 = 1052).

The spelling of 31137912 in words is "thirty-one million, one hundred thirty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 853 936 1014 1352 1404 1521 1706 2028 2559 2808 3042 3412 4056 4563 5118 6084 6824 7677 9126 10236 11089 12168 15354 18252 20472 22178 23031 30708 33267 36504 44356 46062 61416 66534 88712 92124 99801 133068 144157 184248 199602 266136 288314 299403 399204 432471 576628 598806 798408 864942 1153256 1197612 1297413 1729884 2395224 2594826 3459768 3892239 5189652 7784478 10379304 15568956 31137912