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131803992 = 233217257419
BaseRepresentation
bin1111101101100…
…10101101011000
3100012000100002100
413312302231120
5232220211432
621025003400
73160213125
oct766625530
9305010070
10131803992
1168444321
1238183560
13213ca938
141370d74c
15b88807c
hex7db2b58

131803992 has 96 divisors (see below), whose sum is σ = 380343600. Its totient is φ = 41091072.

The previous prime is 131803979. The next prime is 131804017. The reversal of 131803992 is 299308131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314359 + ... + 314777.

Almost surely, 2131803992 is an apocalyptic number.

131803992 is a gapful number since it is divisible by the number (12) 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 131803992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190171800).

131803992 is an abundant number, since it is smaller than the sum of its proper divisors (248539608).

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

131803992 is a wasteful number, since it uses less digits than its factorization.

131803992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 131803992 is about 11480.5919708001. The cubic root of 131803992 is about 508.9121912026.

It can be divided in two parts, 1318039 and 92, that added together give a palindrome (1318131).

The spelling of 131803992 in words is "one hundred thirty-one million, eight hundred three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 257 306 408 419 514 612 771 838 1028 1224 1257 1542 1676 2056 2313 2514 3084 3352 3771 4369 4626 5028 6168 7123 7542 8738 9252 10056 13107 14246 15084 17476 18504 21369 26214 28492 30168 34952 39321 42738 52428 56984 64107 78642 85476 104856 107683 128214 157284 170952 215366 256428 314568 323049 430732 512856 646098 861464 969147 1292196 1830611 1938294 2584392 3661222 3876588 5491833 7322444 7753176 10983666 14644888 16475499 21967332 32950998 43934664 65901996 131803992