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131483835 = 3257715879
BaseRepresentation
bin1111101011001…
…00100010111011
3100011102001220200
413311210202323
5232124440320
621014053243
73154410540
oct765444273
9304361820
10131483835
116824582a
123804a223
1321317cb2
1413668bc7
15b823290
hex7d648bb

131483835 has 48 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 59250240.

The previous prime is 131483771. The next prime is 131483837. The reversal of 131483835 is 538384131.

It is not a de Polignac number, because 131483835 - 26 = 131483771 is a prime.

Together with 132692805 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 131483835.

It is not an unprimeable number, because it can be changed into a prime (131483837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19426 + ... + 25304.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2131483835 is an apocalyptic number.

131483835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131483835 is an abundant number, since it is smaller than the sum of its proper divisors (132692805).

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

131483835 is a wasteful number, since it uses less digits than its factorization.

131483835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5965 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 131483835 is about 11466.6400920235. The cubic root of 131483835 is about 508.4998013127.

The spelling of 131483835 in words is "one hundred thirty-one million, four hundred eighty-three thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 1065 1491 2485 3195 4473 5879 7455 17637 22365 29395 41153 52911 88185 123459 205765 264555 370377 417409 617295 1252227 1851885 2087045 2921863 3756681 6261135 8765589 14609315 18783405 26296767 43827945 131483835