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131690460 = 223511613271
BaseRepresentation
bin1111101100101…
…10111111011100
3100011210120100110
413312112333130
5232203043320
621022330020
73156231126
oct766267734
9304716313
10131690460
1168376aa0
1238129910
132138b065
14136c0216
15b8645e0
hex7d96fdc

131690460 has 96 divisors (see below), whose sum is σ = 408973824. Its totient is φ = 31392000.

The previous prime is 131690459. The next prime is 131690473. The reversal of 131690460 is 64096131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38625 + ... + 41895.

It is an arithmetic number, because the mean of its divisors is an integer number (4260144).

Almost surely, 2131690460 is an apocalyptic number.

131690460 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 131690460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204486912).

131690460 is an abundant number, since it is smaller than the sum of its proper divisors (277283364).

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

131690460 is a wasteful number, since it uses less digits than its factorization.

131690460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 131690460 is about 11475.6463870233. The cubic root of 131690460 is about 508.7660286691.

The spelling of 131690460 in words is "one hundred thirty-one million, six hundred ninety thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3271 3355 3660 4026 6542 6710 8052 9813 10065 13084 13420 16355 19626 20130 32710 35981 39252 40260 49065 65420 71962 98130 107943 143924 179905 196260 199531 215886 359810 399062 431772 539715 598593 719620 798124 997655 1079430 1197186 1995310 2158860 2194841 2394372 2992965 3990620 4389682 5985930 6584523 8779364 10974205 11971860 13169046 21948410 26338092 32922615 43896820 65845230 131690460