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31146540 = 2235796571
BaseRepresentation
bin111011011010…
…0001000101100
32011121102000120
41312310020230
530433142130
63031324540
7525512145
oct166641054
964542016
1031146540
1116643947
12a520750
1365b6b09
1441caacc
152b03910
hex1db422c

31146540 has 48 divisors (see below), whose sum is σ = 88327680. Its totient is φ = 8199360.

The previous prime is 31146527. The next prime is 31146541. The reversal of 31146540 is 4564113.

It is a self number, because there is not a number n which added to its sum of digits gives 31146540.

It is not an unprimeable number, because it can be changed into a prime (31146541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455 + ... + 8025.

It is an arithmetic number, because the mean of its divisors is an integer number (1840160).

Almost surely, 231146540 is an apocalyptic number.

31146540 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 31146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44163840).

31146540 is an abundant number, since it is smaller than the sum of its proper divisors (57181140).

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

31146540 is a wasteful number, since it uses less digits than its factorization.

31146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6660 counting only the distinct ones).

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

The square root of 31146540 is about 5580.9085281879. The cubic root of 31146540 is about 314.6322743421.

The spelling of 31146540 in words is "thirty-one million, one hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 6571 13142 19713 26284 32855 39426 65710 78852 98565 131420 197130 394260 519109 1038218 1557327 2076436 2595545 3114654 5191090 6229308 7786635 10382180 15573270 31146540