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131714550 = 232521124159
BaseRepresentation
bin1111101100111…
…00110111110110
3100011211210101200
413312130313312
5232204331200
621023033330
73156361302
oct766346766
9304753350
10131714550
1168393100
123813b846
1321399006
14136c8d02
15b86b800
hex7d9cdf6

131714550 has 216 divisors, whose sum is σ = 405208440. Its totient is φ = 30624000.

The previous prime is 131714533. The next prime is 131714579. The reversal of 131714550 is 55417131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2232421 + ... + 2232479.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2131714550 is an apocalyptic number.

131714550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131714550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

131714550 is an abundant number, since it is smaller than the sum of its proper divisors (273493890).

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

131714550 is a wasteful number, since it uses less digits than its factorization.

131714550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 131714550 is about 11476.6959531043. The cubic root of 131714550 is about 508.7970494593.

The spelling of 131714550 in words is "one hundred thirty-one million, seven hundred fourteen thousand, five hundred fifty".