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131376690 = 23252363467
BaseRepresentation
bin1111101010010…
…10011000110010
3100011012121221100
413311022120302
5232113023230
621011505230
73153453264
oct765123062
9304177840
10131376690
1168182285
1237bb8216
13212ab2b3
141363bb34
15b801660
hex7d4a632

131376690 has 48 divisors (see below), whose sum is σ = 356436288. Its totient is φ = 33510048.

The previous prime is 131376689. The next prime is 131376691. The reversal of 131376690 is 96673131.

It is an interprime number because it is at equal distance from previous prime (131376689) and next prime (131376691).

It is a super-2 number, since 2×1313766902 = 34519669350712200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131376691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29664 + ... + 33803.

It is an arithmetic number, because the mean of its divisors is an integer number (7425756).

Almost surely, 2131376690 is an apocalyptic number.

131376690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131376690 is an abundant number, since it is smaller than the sum of its proper divisors (225059598).

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

131376690 is a wasteful number, since it uses less digits than its factorization.

131376690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63503 (or 63500 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 131376690 is about 11461.9671086598. The cubic root of 131376690 is about 508.3616397985.

The spelling of 131376690 in words is "one hundred thirty-one million, three hundred seventy-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 63467 126934 190401 317335 380802 571203 634670 952005 1142406 1459741 1904010 2856015 2919482 4379223 5712030 7298705 8758446 13137669 14597410 21896115 26275338 43792230 65688345 131376690