Search a number
-
+
131812704 = 253341612
BaseRepresentation
bin1111101101101…
…00110101100000
3100012000210001000
413312310311200
5232221001304
621025112000
73160250412
oct766646540
9305023030
10131812704
116844a921
1238188600
13214018aa
14137129b2
15b88a939
hex7db4d60

131812704 has 144 divisors (see below), whose sum is σ = 400392720. Its totient is φ = 42163200.

The previous prime is 131812699. The next prime is 131812717. The reversal of 131812704 is 407218131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2160834 + ... + 2160894.

It is an arithmetic number, because the mean of its divisors is an integer number (2780505).

Almost surely, 2131812704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131812704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200196360).

131812704 is an abundant number, since it is smaller than the sum of its proper divisors (268580016).

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

131812704 is an equidigital number, since it uses as much as digits as its factorization.

131812704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 131812704 is about 11480.9713874741. The cubic root of 131812704 is about 508.9234036737.

The spelling of 131812704 in words is "one hundred thirty-one million, eight hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 61 72 82 96 108 122 123 144 164 183 216 244 246 288 328 366 369 432 488 492 549 656 732 738 864 976 984 1098 1107 1312 1464 1476 1647 1952 1968 2196 2214 2501 2928 2952 3294 3721 3936 4392 4428 5002 5856 5904 6588 7442 7503 8784 8856 10004 11163 11808 13176 14884 15006 17568 17712 20008 22326 22509 26352 29768 30012 33489 35424 40016 44652 45018 52704 59536 60024 66978 67527 80032 89304 90036 100467 119072 120048 133956 135054 152561 178608 180072 200934 240096 267912 270108 305122 357216 360144 401868 457683 535824 540216 610244 720288 803736 915366 1071648 1080432 1220488 1373049 1607472 1830732 2160864 2440976 2746098 3214944 3661464 4119147 4881952 5492196 7322928 8238294 10984392 14645856 16476588 21968784 32953176 43937568 65906352 131812704