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31391136 = 2532723677
BaseRepresentation
bin111011110111…
…1110110100000
32012001211112200
41313233312200
531014004021
63040453200
7530551230
oct167576640
965054480
1031391136
11167a0697
12a61a200
13667124a
144251cc0
152b51126
hex1defda0

31391136 has 144 divisors (see below), whose sum is σ = 106614144. Its totient is φ = 8566272.

The previous prime is 31391131. The next prime is 31391147. The reversal of 31391136 is 63119313.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31391131) 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, 46030 + ... + 46706.

It is an arithmetic number, because the mean of its divisors is an integer number (740376).

Almost surely, 231391136 is an apocalyptic number.

31391136 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 31391136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53307072).

31391136 is an abundant number, since it is smaller than the sum of its proper divisors (75223008).

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

31391136 is a wasteful number, since it uses less digits than its factorization.

31391136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 31391136 is about 5602.7793103066. The cubic root of 31391136 is about 315.4537376401.

The spelling of 31391136 in words is "thirty-one million, three hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 677 736 828 966 1008 1104 1288 1354 1449 1656 1932 2016 2031 2208 2576 2708 2898 3312 3864 4062 4739 5152 5416 5796 6093 6624 7728 8124 9478 10832 11592 12186 14217 15456 15571 16248 18956 21664 23184 24372 28434 31142 32496 37912 42651 46368 46713 48744 56868 62284 64992 75824 85302 93426 97488 108997 113736 124568 140139 151648 170604 186852 194976 217994 227472 249136 280278 326991 341208 373704 435988 454944 498272 560556 653982 682416 747408 871976 980973 1121112 1307964 1364832 1494816 1743952 1961946 2242224 2615928 3487904 3923892 4484448 5231856 7847784 10463712 15695568 31391136