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131204304 = 243271111833
BaseRepresentation
bin1111101001000…
…00010011010000
3100010212212110200
413310200103100
5232042014204
621004055200
73152134560
oct764402320
9303785420
10131204304
1168074810
1237b34500
132124a9aa
14135d4da0
15b7ba539
hex7d204d0

131204304 has 120 divisors (see below), whose sum is σ = 457833792. Its totient is φ = 34076160.

The previous prime is 131204303. The next prime is 131204357. The reversal of 131204304 is 403402131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131204303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5172 + ... + 17004.

Almost surely, 2131204304 is an apocalyptic number.

131204304 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 131204304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228916896).

131204304 is an abundant number, since it is smaller than the sum of its proper divisors (326629488).

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

131204304 is a wasteful number, since it uses less digits than its factorization.

131204304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131204304 is about 11454.4447268298. Note that the first 3 decimals coincide. The cubic root of 131204304 is about 508.1391934689.

Adding to 131204304 its reverse (403402131), we get a palindrome (534606435).

It can be divided in two parts, 13120 and 4304, that added together give a square (17424 = 1322).

The spelling of 131204304 in words is "one hundred thirty-one million, two hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 11833 23666 35499 47332 70998 82831 94664 106497 130163 141996 165662 189328 212994 248493 260326 283992 331324 390489 425988 496986 520652 567984 662648 745479 780978 851976 911141 993972 1041304 1171467 1325296 1490958 1561956 1703952 1822282 1987944 2082608 2342934 2733423 2981916 3123912 3644564 3975888 4685868 5466846 5963832 6247824 7289128 8200269 9371736 10933692 11927664 14578256 16400538 18743472 21867384 32801076 43734768 65602152 131204304