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131530890 = 23518124223
BaseRepresentation
bin1111101011100…
…00000010001010
3100011111110110110
413311300002022
5232132442030
621015055150
73154664661
oct765600212
9304443413
10131530890
1168278117
12380714b6
132133353a
141367bdd8
15b8321b0
hex7d7008a

131530890 has 32 divisors (see below), whose sum is σ = 317431296. Its totient is φ = 34879680.

The previous prime is 131530879. The next prime is 131530961. The reversal of 131530890 is 98035131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6682 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (9919728).

Almost surely, 2131530890 is an apocalyptic number.

131530890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131530890 is an abundant number, since it is smaller than the sum of its proper divisors (185900406).

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

131530890 is a wasteful number, since it uses less digits than its factorization.

131530890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24414.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 131530890 is about 11468.6917300972. The cubic root of 131530890 is about 508.5604541536.

The spelling of 131530890 in words is "one hundred thirty-one million, five hundred thirty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 181 362 543 905 1086 1810 2715 5430 24223 48446 72669 121115 145338 242230 363345 726690 4384363 8768726 13153089 21921815 26306178 43843630 65765445 131530890