Search a number
-
+
131454540 = 223257172192
BaseRepresentation
bin1111101010111…
…01011001001100
3100011100120201200
413311131121030
5232123021130
621013305500
73154226250
oct765353114
9304316650
10131454540
1168225818
1238035290
1321307869
141365c260
15b819760
hex7d5d64c

131454540 has 324 divisors, whose sum is σ = 510911856. Its totient is φ = 26790912.

The previous prime is 131454467. The next prime is 131454553. The reversal of 131454540 is 45454131.

It is a happy number.

It is a super-2 number, since 2×1314545402 = 34560592173223200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6918651 + ... + 6918669.

Almost surely, 2131454540 is an apocalyptic number.

131454540 is a gapful number since it is divisible by the number (10) 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 131454540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255455928).

131454540 is an abundant number, since it is smaller than the sum of its proper divisors (379457316).

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

131454540 is a wasteful number, since it uses less digits than its factorization.

131454540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 131454540 is about 11465.3626196471. The cubic root of 131454540 is about 508.4620334047.

The spelling of 131454540 in words is "one hundred thirty-one million, four hundred fifty-four thousand, five hundred forty".