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31149540 = 22325173053
BaseRepresentation
bin111011011010…
…0110111100100
32011121120010200
41312310313210
530433241130
63031350500
7525523662
oct166646744
964546120
1031149540
1116646124
12a522430
1365b82a6
1441cbc32
152b04760
hex1db4de4

31149540 has 36 divisors (see below), whose sum is σ = 94487484. Its totient is φ = 8306496.

The previous prime is 31149539. The next prime is 31149541. The reversal of 31149540 is 4594113.

31149540 is a `hidden beast` number, since 3 + 114 + 9 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (31149539) and next prime (31149541).

It can be written as a sum of positive squares in 2 ways, for example, as 17489124 + 13660416 = 4182^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (31149541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86347 + ... + 86706.

Almost surely, 231149540 is an apocalyptic number.

31149540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31149540 is an abundant number, since it is smaller than the sum of its proper divisors (63337944).

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

31149540 is a wasteful number, since it uses less digits than its factorization.

31149540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173068 (or 173063 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 31149540 is about 5581.1772951591. The cubic root of 31149540 is about 314.6423756944.

The spelling of 31149540 in words is "thirty-one million, one hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 173053 346106 519159 692212 865265 1038318 1557477 1730530 2076636 2595795 3114954 3461060 5191590 6229908 7787385 10383180 15574770 31149540