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131514396 = 223136471303
BaseRepresentation
bin1111101011011…
…00000000011100
3100011110121211120
413311230000130
5232131430041
621014450540
73154565616
oct765540034
9304417746
10131514396
1168266792
1238063a50
1321328b90
1413675db6
15b82c366
hex7d6c01c

131514396 has 48 divisors (see below), whose sum is σ = 331236864. Its totient is φ = 40372416.

The previous prime is 131514389. The next prime is 131514407. The reversal of 131514396 is 693415131.

It is a super-3 number, since 3×1315143963 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100281 + ... + 101583.

It is an arithmetic number, because the mean of its divisors is an integer number (6900768).

Almost surely, 2131514396 is an apocalyptic number.

It is an amenable number.

131514396 is an abundant number, since it is smaller than the sum of its proper divisors (199722468).

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

131514396 is a wasteful number, since it uses less digits than its factorization.

131514396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1968 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 131514396 is about 11467.9726194302. The cubic root of 131514396 is about 508.5391954039.

The spelling of 131514396 in words is "one hundred thirty-one million, five hundred fourteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 647 1294 1303 1941 2588 2606 3882 3909 5212 7764 7818 8411 15636 16822 16939 25233 33644 33878 50466 50817 67756 100932 101634 203268 843041 1686082 2529123 3372164 5058246 10116492 10959533 21919066 32878599 43838132 65757198 131514396