Search a number
-
+
131564352 = 263685231
BaseRepresentation
bin1111101011110…
…00001101000000
3100011120011100210
413311320031000
5232140024402
621015514120
73155164353
oct765701500
9304504323
10131564352
11682a0277
1238088940
132134583a
141368a29a
15b83c06c
hex7d78340

131564352 has 28 divisors (see below), whose sum is σ = 348097856. Its totient is φ = 43854720.

The previous prime is 131564299. The next prime is 131564353. The reversal of 131564352 is 253465131.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131564353) 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 3 ways as a sum of consecutive naturals, for example, 342424 + ... + 342807.

Almost surely, 2131564352 is an apocalyptic number.

131564352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131564352 is an abundant number, since it is smaller than the sum of its proper divisors (216533504).

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

131564352 is an equidigital number, since it uses as much as digits as its factorization.

131564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685246 (or 685236 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 131564352 is about 11470.1504785247. The cubic root of 131564352 is about 508.6035771214.

The spelling of 131564352 in words is "one hundred thirty-one million, five hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 685231 1370462 2055693 2740924 4111386 5481848 8222772 10963696 16445544 21927392 32891088 43854784 65782176 131564352