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131361076 = 22711716007
BaseRepresentation
bin1111101010001…
…10100100110100
3100011011211112001
413311012210310
5232112023301
621011305044
73153356620
oct765064464
9304154461
10131361076
1168171580
1237bab184
13212a4162
1413636180
15b7ebc01
hex7d46934

131361076 has 48 divisors (see below), whose sum is σ = 290691072. Its totient is φ = 50450400.

The previous prime is 131361067. The next prime is 131361127. The reversal of 131361076 is 670163131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 18865 + ... + 24871.

It is an arithmetic number, because the mean of its divisors is an integer number (6056064).

Almost surely, 2131361076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131361076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145345536).

131361076 is an abundant number, since it is smaller than the sum of its proper divisors (159329996).

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

131361076 is a wasteful number, since it uses less digits than its factorization.

131361076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 131361076 is about 11461.2859662431. The cubic root of 131361076 is about 508.3414995612.

The spelling of 131361076 in words is "one hundred thirty-one million, three hundred sixty-one thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 3124 5467 6007 10934 12014 21868 24028 42049 66077 84098 132154 168196 264308 426497 462539 852994 925078 1705988 1850156 2985479 4691467 5970958 9382934 11941916 18765868 32840269 65680538 131361076