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31412745 = 3357132557
BaseRepresentation
bin111011111010…
…1001000001001
32012002221012000
41313311020021
531020201440
63041141213
7531001230
oct167651011
965087160
1031412745
1116805951
12a62a809
13667b030
144259b17
152b57730
hex1df5209

31412745 has 64 divisors (see below), whose sum is σ = 68759040. Its totient is φ = 13250304.

The previous prime is 31412737. The next prime is 31412767. The reversal of 31412745 is 54721413.

It is not a de Polignac number, because 31412745 - 23 = 31412737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11007 + ... + 13563.

It is an arithmetic number, because the mean of its divisors is an integer number (1074360).

Almost surely, 231412745 is an apocalyptic number.

31412745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31412745 is an abundant number, since it is smaller than the sum of its proper divisors (37346295).

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

31412745 is a wasteful number, since it uses less digits than its factorization.

31412745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2585 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 31412745 is about 5604.7073964659. The cubic root of 31412745 is about 315.5261049508.

It can be divided in two parts, 3141 and 2745, that added together give a triangular number (5886 = T108).

The spelling of 31412745 in words is "thirty-one million, four hundred twelve thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 2557 4095 7671 12285 12785 17899 23013 33241 38355 53697 69039 89495 99723 115065 161091 166205 232687 268485 299169 345195 483273 498615 698061 805455 897507 1163435 1495845 2094183 2416365 3490305 4487535 6282549 10470915 31412745