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131406024 = 23331239739
BaseRepresentation
bin1111101010100…
…01100011001000
3100011021010011210
413311101203020
5232114443044
621012253120
73153634641
oct765214310
9304233153
10131406024
11681a2322
12380111a0
13212bb759
14136486c8
15b80a1b9
hex7d518c8

131406024 has 64 divisors (see below), whose sum is σ = 340992000. Its totient is φ = 42154560.

The previous prime is 131406001. The next prime is 131406029. The reversal of 131406024 is 420604131.

It is not an unprimeable number, because it can be changed into a prime (131406029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 177447 + ... + 178185.

It is an arithmetic number, because the mean of its divisors is an integer number (5328000).

Almost surely, 2131406024 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 131406024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170496000).

131406024 is an abundant number, since it is smaller than the sum of its proper divisors (209585976).

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

131406024 is a wasteful number, since it uses less digits than its factorization.

131406024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 131406024 is about 11463.2466605234. The cubic root of 131406024 is about 508.3994729194.

The spelling of 131406024 in words is "one hundred thirty-one million, four hundred six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 239 248 372 478 717 739 744 956 1434 1478 1912 2217 2868 2956 4434 5736 5912 7409 8868 14818 17736 22227 22909 29636 44454 45818 59272 68727 88908 91636 137454 176621 177816 183272 274908 353242 529863 549816 706484 1059726 1412968 2119452 4238904 5475251 10950502 16425753 21901004 32851506 43802008 65703012 131406024