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131655030 = 23513893793
BaseRepresentation
bin1111101100011…
…10010101110110
3100011201202202020
413312032111312
5232200430110
621021454010
73156022623
oct766162566
9304652666
10131655030
1168352411
1238111306
1321377bb0
14136b134a
15b858d70
hex7d8e576

131655030 has 64 divisors (see below), whose sum is σ = 344191680. Its totient is φ = 32034816.

The previous prime is 131654981. The next prime is 131655061. The reversal of 131655030 is 30556131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32814 + ... + 36606.

It is an arithmetic number, because the mean of its divisors is an integer number (5377995).

Almost surely, 2131655030 is an apocalyptic number.

131655030 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 131655030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172095840).

131655030 is an abundant number, since it is smaller than the sum of its proper divisors (212536650).

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

131655030 is a wasteful number, since it uses less digits than its factorization.

131655030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 131655030 is about 11474.1025792870. The cubic root of 131655030 is about 508.7203984411.

The spelling of 131655030 in words is "one hundred thirty-one million, six hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 390 445 534 890 1157 1335 2314 2670 3471 3793 5785 6942 7586 11379 11570 17355 18965 22758 34710 37930 49309 56895 98618 113790 147927 246545 295854 337577 493090 675154 739635 1012731 1479270 1687885 2025462 3375770 4388501 5063655 8777002 10127310 13165503 21942505 26331006 43885010 65827515 131655030