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31164540 = 223511232053
BaseRepresentation
bin111011011100…
…0100001111100
32011122022201020
41312320201330
530434231130
63031544140
7525615501
oct166704174
964568636
1031164540
1116656420
12a52b050
1365c2074
1441d34a8
152b08e10
hex1db887c

31164540 has 96 divisors (see below), whose sum is σ = 99380736. Its totient is φ = 7223040.

The previous prime is 31164533. The next prime is 31164559. The reversal of 31164540 is 4546113.

It is a self number, because there is not a number n which added to its sum of digits gives 31164540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14154 + ... + 16206.

It is an arithmetic number, because the mean of its divisors is an integer number (1035216).

Almost surely, 231164540 is an apocalyptic number.

31164540 is a gapful number since it is divisible by the number (30) 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 31164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49690368).

31164540 is an abundant number, since it is smaller than the sum of its proper divisors (68216196).

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

31164540 is a wasteful number, since it uses less digits than its factorization.

31164540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 31164540 is about 5582.5209359213. The cubic root of 31164540 is about 314.6928727297.

The spelling of 31164540 in words is "thirty-one million, one hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2053 2530 3036 3795 4106 5060 6159 7590 8212 10265 12318 15180 20530 22583 24636 30795 41060 45166 47219 61590 67749 90332 94438 112915 123180 135498 141657 188876 225830 236095 270996 283314 338745 451660 472190 519409 566628 677490 708285 944380 1038818 1354980 1416570 1558227 2077636 2597045 2833140 3116454 5194090 6232908 7791135 10388180 15582270 31164540