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131975388 = 223213726759
BaseRepresentation
bin1111101110111…
…00100011011100
3100012100001012100
413313130203130
5232241203023
621032405100
73161525616
oct767344334
9305301170
10131975388
1168551076
1238246790
132145a95c
1413755db6
15b8bdc43
hex7ddc8dc

131975388 has 36 divisors (see below), whose sum is σ = 336052080. Its totient is φ = 43669056.

The previous prime is 131975383. The next prime is 131975413. The reversal of 131975388 is 883579131.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131975381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8448 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (9334780).

Almost surely, 2131975388 is an apocalyptic number.

131975388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131975388 is an abundant number, since it is smaller than the sum of its proper divisors (204076692).

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

131975388 is a wasteful number, since it uses less digits than its factorization.

131975388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26906 (or 26901 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 131975388 is about 11488.0541433264. The cubic root of 131975388 is about 509.1326896639.

The spelling of 131975388 in words is "one hundred thirty-one million, nine hundred seventy-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 26759 53518 80277 107036 160554 240831 321108 481662 963324 3665983 7331966 10997949 14663932 21995898 32993847 43991796 65987694 131975388