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131974038 = 23271955127
BaseRepresentation
bin1111101110111…
…00001110010110
3100012022222100100
413313130032112
5232241132123
621032354530
73161521650
oct767341626
9305288310
10131974038
1168550059
1238245a46
132145a161
14137556d0
15b8bd643
hex7ddc396

131974038 has 48 divisors (see below), whose sum is σ = 343998720. Its totient is φ = 35721648.

The previous prime is 131974021. The next prime is 131974061. The reversal of 131974038 is 830479131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131973993 and 131974011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25170 + ... + 29957.

It is an arithmetic number, because the mean of its divisors is an integer number (7166640).

Almost surely, 2131974038 is an apocalyptic number.

131974038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131974038 is an abundant number, since it is smaller than the sum of its proper divisors (212024682).

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

131974038 is a wasteful number, since it uses less digits than its factorization.

131974038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55161 (or 55158 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131974038 is about 11487.9953864893. The cubic root of 131974038 is about 509.1309536547.

It can be divided in two parts, 1319 and 74038, that added together give a palindrome (75357).

The spelling of 131974038 in words is "one hundred thirty-one million, nine hundred seventy-four thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 55127 110254 165381 330762 385889 496143 771778 992286 1047413 1157667 2094826 2315334 3142239 3473001 6284478 6946002 7331891 9426717 14663782 18853434 21995673 43991346 65987019 131974038