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131339970 = 23251989863
BaseRepresentation
bin1111101010000…
…01011011000010
3100011010202120100
413311001123002
5232110334340
621011023230
73153241236
oct765013302
9304122510
10131339970
1168157733
1237b9ab16
1321297678
141362c5c6
15b7e5830
hex7d416c2

131339970 has 96 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 32769792.

The previous prime is 131339969. The next prime is 131339981. The reversal of 131339970 is 79933131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151759 + ... + 152621.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2131339970 is an apocalyptic number.

131339970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131339970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

131339970 is an abundant number, since it is smaller than the sum of its proper divisors (232576830).

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

131339970 is a wasteful number, since it uses less digits than its factorization.

131339970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 15309, while the sum is 36.

The square root of 131339970 is about 11460.3651774278. The cubic root of 131339970 is about 508.3142727482.

The spelling of 131339970 in words is "one hundred thirty-one million, three hundred thirty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 89 90 95 114 171 178 190 267 285 342 445 534 570 801 855 863 890 1335 1602 1691 1710 1726 2589 2670 3382 4005 4315 5073 5178 7767 8010 8455 8630 10146 12945 15219 15534 16397 16910 25365 25890 30438 32794 38835 49191 50730 76095 76807 77670 81985 98382 147573 152190 153614 163970 230421 245955 295146 384035 460842 491910 691263 737865 768070 1152105 1382526 1459333 1475730 2304210 2918666 3456315 4377999 6912630 7296665 8755998 13133997 14593330 21889995 26267994 43779990 65669985 131339970