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31031712 = 25321953107
BaseRepresentation
bin111011001100…
…0000110100000
32011101120111200
41312120012200
530421003322
63025041200
7524523315
oct166300640
964346450
1031031712
1116575648
12a486200
13657677a
14419ad0c
152ace8ac
hex1d981a0

31031712 has 144 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 9524736.

The previous prime is 31031687. The next prime is 31031723. The reversal of 31031712 is 21713013.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289963 + ... + 290069.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 231031712 is an apocalyptic number.

31031712 is a gapful number since it is divisible by the number (32) 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 31031712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

31031712 is an abundant number, since it is smaller than the sum of its proper divisors (64496448).

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

31031712 is a wasteful number, since it uses less digits than its factorization.

31031712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 31031712 is about 5570.6114565638. The cubic root of 31031712 is about 314.2451464363.

Adding to 31031712 its reverse (21713013), we get a palindrome (52744725).

The spelling of 31031712 in words is "thirty-one million, thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 53 57 72 76 96 106 107 114 144 152 159 171 212 214 228 288 304 318 321 342 424 428 456 477 608 636 642 684 848 856 912 954 963 1007 1272 1284 1368 1696 1712 1824 1908 1926 2014 2033 2544 2568 2736 3021 3424 3816 3852 4028 4066 5088 5136 5472 5671 6042 6099 7632 7704 8056 8132 9063 10272 11342 12084 12198 15264 15408 16112 16264 17013 18126 18297 22684 24168 24396 30816 32224 32528 34026 36252 36594 45368 48336 48792 51039 65056 68052 72504 73188 90736 96672 97584 102078 107749 136104 145008 146376 181472 195168 204156 215498 272208 290016 292752 323247 408312 430996 544416 585504 646494 816624 861992 969741 1292988 1633248 1723984 1939482 2585976 3447968 3878964 5171952 7757928 10343904 15515856 31031712