Search a number
-
+
131458992 = 2437391247
BaseRepresentation
bin1111101010111…
…10011110110000
3100011100210211120
413311132132300
5232123141432
621013342240
73154245240
oct765363660
9304323746
10131458992
11682290a5
1238037980
13213098b2
141365db20
15b81ac2c
hex7d5e7b0

131458992 has 40 divisors (see below), whose sum is σ = 388118016. Its totient is φ = 37559616.

The previous prime is 131458981. The next prime is 131459051. The reversal of 131458992 is 299854131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195288 + ... + 195959.

Almost surely, 2131458992 is an apocalyptic number.

131458992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131458992 is an abundant number, since it is smaller than the sum of its proper divisors (256659024).

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

131458992 is a wasteful number, since it uses less digits than its factorization.

131458992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391265 (or 391259 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 131458992 is about 11465.5567679899. The cubic root of 131458992 is about 508.4677734053.

It can be divided in two parts, 1314 and 58992, that added together give a palindrome (60306).

The spelling of 131458992 in words is "one hundred thirty-one million, four hundred fifty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 391247 782494 1173741 1564988 2347482 2738729 3129976 4694964 5477458 6259952 8216187 9389928 10954916 16432374 18779856 21909832 32864748 43819664 65729496 131458992