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31107232 = 2513374347
BaseRepresentation
bin111011010101…
…0100010100000
32011112102002201
41312222202200
530430412412
63030422544
7525256432
oct166524240
964472081
1031107232
1116617362
12a501a54
1365a1c60
1441ba652
152ae6e57
hex1daa8a0

31107232 has 96 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 13353984.

The previous prime is 31107217. The next prime is 31107239. The reversal of 31107232 is 23270113.

It is not an unprimeable number, because it can be changed into a prime (31107239) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 661833 + ... + 661879.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 231107232 is an apocalyptic number.

31107232 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 31107232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392896).

31107232 is an abundant number, since it is smaller than the sum of its proper divisors (39678560).

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

31107232 is a wasteful number, since it uses less digits than its factorization.

31107232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 31107232 is about 5577.3857675438. The cubic root of 31107232 is about 314.4998597213.

Adding to 31107232 its reverse (23270113), we get a palindrome (54377345).

The spelling of 31107232 in words is "thirty-one million, one hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 43 47 52 74 86 94 104 148 172 188 208 296 344 376 416 481 559 592 611 688 752 962 1118 1184 1222 1376 1504 1591 1739 1924 2021 2236 2444 3182 3478 3848 4042 4472 4888 6364 6956 7696 8084 8944 9776 12728 13912 15392 16168 17888 19552 20683 22607 25456 26273 27824 32336 41366 45214 50912 52546 55648 64672 74777 82732 90428 105092 149554 165464 180856 210184 299108 330928 361712 420368 598216 661856 723424 840736 972101 1196432 1944202 2392864 3888404 7776808 15553616 31107232