Search a number
-
+
131072982 = 23192941967
BaseRepresentation
bin1111101000000…
…00001111010110
3100010122012022220
413310000033112
5232023313412
621001203210
73151046655
oct764001726
9303565286
10131072982
1167a95087
1237a90506
1321202ca1
141359d19c
15b79168c
hex7d003d6

131072982 has 64 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 38949120.

The previous prime is 131072927. The next prime is 131072993. The reversal of 131072982 is 289270131.

It is a super-2 number, since 2×1310729822 = 34360253220744648, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 135063 + ... + 136029.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2131072982 is an apocalyptic number.

131072982 is the 9348-th pentagonal number.

131072982 is an abundant number, since it is smaller than the sum of its proper divisors (161650218).

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

131072982 is a wasteful number, since it uses less digits than its factorization.

131072982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 131072982 is about 11448.7109318036. The cubic root of 131072982 is about 507.9696052040.

The spelling of 131072982 in words is "one hundred thirty-one million, seventy-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 19 29 38 41 57 58 82 87 114 123 174 246 551 779 967 1102 1189 1558 1653 1934 2337 2378 2901 3306 3567 4674 5802 7134 18373 22591 28043 36746 39647 45182 55119 56086 67773 79294 84129 110238 118941 135546 168258 237882 532817 753293 1065634 1149763 1506586 1598451 2259879 2299526 3196902 3449289 4519758 6898578 21845497 43690994 65536491 131072982