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131584120 = 23519173137
BaseRepresentation
bin1111101011111…
…01000001111000
3100011121011110221
413311331001320
5232141142440
621020145424
73155306113
oct765750170
9304534427
10131584120
1168304108
1238098274
1321351835
141369357a
15b842d4a
hex7d7d078

131584120 has 32 divisors (see below), whose sum is σ = 311648400. Its totient is φ = 49863168.

The previous prime is 131584111. The next prime is 131584121. The reversal of 131584120 is 21485131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131584121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85809 + ... + 87328.

Almost surely, 2131584120 is an apocalyptic number.

131584120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131584120 is an abundant number, since it is smaller than the sum of its proper divisors (180064280).

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

131584120 is a wasteful number, since it uses less digits than its factorization.

131584120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173167 (or 173163 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 131584120 is about 11471.0121610955. The cubic root of 131584120 is about 508.6290489959.

The spelling of 131584120 in words is "one hundred thirty-one million, five hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 173137 346274 692548 865685 1385096 1731370 3289603 3462740 6579206 6925480 13158412 16448015 26316824 32896030 65792060 131584120