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131453640 = 233253111779
BaseRepresentation
bin1111101010111…
…01001011001000
3100011100112111100
413311131023020
5232123004030
621013301400
73154223523
oct765351310
9304315440
10131453640
116822507a
1238034860
1321307326
141365bbba
15b819360
hex7d5d2c8

131453640 has 96 divisors (see below), whose sum is σ = 441043200. Its totient is φ = 33920640.

The previous prime is 131453617. The next prime is 131453659. The reversal of 131453640 is 46354131.

131453640 is a `hidden beast` number, since 1 + 3 + 14 + 5 + 3 + 640 = 666.

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, 5271 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (4594200).

Almost surely, 2131453640 is an apocalyptic number.

131453640 is a gapful number since it is divisible by the number (10) 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 131453640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600).

131453640 is an abundant number, since it is smaller than the sum of its proper divisors (309589560).

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

131453640 is a wasteful number, since it uses less digits than its factorization.

131453640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11827 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 131453640 is about 11465.3233709303. The cubic root of 131453640 is about 508.4608730115.

The spelling of 131453640 in words is "one hundred thirty-one million, four hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 11779 23558 35337 47116 58895 70674 94232 106011 117790 141348 176685 212022 235580 282696 353370 365149 424044 471160 530055 706740 730298 848088 1060110 1095447 1413480 1460596 1825745 2120220 2190894 2921192 3286341 3651490 4240440 4381788 5477235 6572682 7302980 8763576 10954470 13145364 14605960 16431705 21908940 26290728 32863410 43817880 65726820 131453640