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131094480 = 2435111723127
BaseRepresentation
bin1111101000001…
…01011111010000
3100010200021211010
413310011133100
5232030010410
621001450520
73151166436
oct764053720
9303607733
10131094480
1167aaa250
1237aa0a40
132120c9ca
14135a6d56
15b797c20
hex7d057d0

131094480 has 320 divisors, whose sum is σ = 493682688. Its totient is φ = 28385280.

The previous prime is 131094479. The next prime is 131094517. The reversal of 131094480 is 84490131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1032177 + ... + 1032303.

Almost surely, 2131094480 is an apocalyptic number.

131094480 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 131094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246841344).

131094480 is an abundant number, since it is smaller than the sum of its proper divisors (362588208).

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

131094480 is a wasteful number, since it uses less digits than its factorization.

131094480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131094480 is about 11449.6497763032. The cubic root of 131094480 is about 507.9973753145.

The spelling of 131094480 in words is "one hundred thirty-one million, ninety-four thousand, four hundred eighty".