Search a number
-
+
131352084 = 22333139233
BaseRepresentation
bin1111101010001…
…00011000010100
3100011011101012000
413311010120110
5232111231314
621011155300
73153321453
oct765043024
9304141160
10131352084
1168165846
1237ba5b30
13212a0036
1413632b9a
15b7e9209
hex7d44614

131352084 has 48 divisors (see below), whose sum is σ = 351536640. Its totient is φ = 42370560.

The previous prime is 131352079. The next prime is 131352097. The reversal of 131352084 is 480253131.

It is a happy number.

131352084 is a `hidden beast` number, since 131 + 3 + 520 + 8 + 4 = 666.

It is a super-2 number, since 2×1313520842 = 34506739942286112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16269 + ... + 22964.

It is an arithmetic number, because the mean of its divisors is an integer number (7323680).

Almost surely, 2131352084 is an apocalyptic number.

It is an amenable number.

131352084 is an abundant number, since it is smaller than the sum of its proper divisors (220184556).

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

131352084 is a wasteful number, since it uses less digits than its factorization.

131352084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39277 (or 39269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 131352084 is about 11460.8936824316. The cubic root of 131352084 is about 508.3299002067.

The spelling of 131352084 in words is "one hundred thirty-one million, three hundred fifty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 39233 78466 117699 156932 235398 353097 470796 706194 1059291 1216223 1412388 2118582 2432446 3648669 4237164 4864892 7297338 10946007 14594676 21892014 32838021 43784028 65676042 131352084