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31113984 = 2831129127
BaseRepresentation
bin111011010110…
…0001100000000
32011112202100210
41312230030000
530431121414
63030514120
7525315216
oct166541400
964482323
1031113984
1116621440
12a505940
1365a5055
1441bccb6
152ae8e59
hex1dac300

31113984 has 144 divisors (see below), whose sum is σ = 94187520. Its totient is φ = 9031680.

The previous prime is 31113967. The next prime is 31114007. The reversal of 31113984 is 48931113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244929 + ... + 245055.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 231113984 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 31113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760).

31113984 is an abundant number, since it is smaller than the sum of its proper divisors (63073536).

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

31113984 is a wasteful number, since it uses less digits than its factorization.

31113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 31113984 is about 5577.9910362065. The cubic root of 31113984 is about 314.5226127307.

The spelling of 31113984 in words is "thirty-one million, one hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 127 128 132 174 176 192 232 254 256 264 319 348 352 381 384 464 508 528 638 696 704 762 768 928 957 1016 1056 1276 1392 1397 1408 1524 1856 1914 2032 2112 2552 2784 2794 2816 3048 3683 3712 3828 4064 4191 4224 5104 5568 5588 6096 7366 7424 7656 8128 8382 8448 10208 11049 11136 11176 12192 14732 15312 16256 16764 20416 22098 22272 22352 24384 29464 30624 32512 33528 40513 40832 44196 44704 48768 58928 61248 67056 81026 81664 88392 89408 97536 117856 121539 122496 134112 162052 176784 178816 235712 243078 244992 268224 324104 353568 357632 471424 486156 536448 648208 707136 942848 972312 1072896 1296416 1414272 1944624 2592832 2828544 3889248 5185664 7778496 10371328 15556992 31113984