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131362924 = 227211229191
BaseRepresentation
bin1111101010001…
…11000001101100
3100011011221001111
413311013001230
5232112103144
621011321404
73153365200
oct765070154
9304157044
10131362924
1168172a00
1237bb0264
13212a4c54
1413636b00
15b7ec534
hex7d4706c

131362924 has 108 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 49156800.

The previous prime is 131362901. The next prime is 131362939. The reversal of 131362924 is 429263131.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687669 + ... + 687859.

It is an arithmetic number, because the mean of its divisors is an integer number (2830240).

Almost surely, 2131362924 is an apocalyptic number.

131362924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131362924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832960).

131362924 is an abundant number, since it is smaller than the sum of its proper divisors (174302996).

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

131362924 is a wasteful number, since it uses less digits than its factorization.

131362924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 131362924 is about 11461.3665851852. The cubic root of 131362924 is about 508.3438833488.

The spelling of 131362924 in words is "one hundred thirty-one million, three hundred sixty-two thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 121 154 191 196 203 242 308 319 382 406 484 539 638 764 812 847 1078 1276 1337 1421 1694 2101 2156 2233 2674 2842 3388 3509 4202 4466 5348 5539 5684 5929 7018 8404 8932 9359 11078 11858 14036 14707 15631 18718 22156 23111 23716 24563 29414 31262 37436 38773 46222 49126 58828 60929 62524 77546 92444 98252 102949 121858 155092 161777 171941 205898 243716 271411 323554 343882 411796 426503 542822 647108 670219 687764 853006 1085644 1132439 1340438 1706012 2264878 2680876 2985521 4529756 4691533 5971042 9383066 11942084 18766132 32840731 65681462 131362924