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131466040 = 23531971093
BaseRepresentation
bin1111101011000…
…00001100111000
3100011101011111121
413311200030320
5232123403130
621013435024
73154304626
oct765401470
9304334447
10131466040
1168233422
123803ba74
132130cb74
1413662516
15b81cd7a
hex7d60338

131466040 has 64 divisors (see below), whose sum is σ = 308770560. Its totient is φ = 50319360.

The previous prime is 131466031. The next prime is 131466053. The reversal of 131466040 is 40664131.

It is a junction number, because it is equal to n+sod(n) for n = 131465996 and 131466014.

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, 119734 + ... + 120826.

It is an arithmetic number, because the mean of its divisors is an integer number (4824540).

Almost surely, 2131466040 is an apocalyptic number.

131466040 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 131466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154385280).

131466040 is an abundant number, since it is smaller than the sum of its proper divisors (177304520).

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

131466040 is a wasteful number, since it uses less digits than its factorization.

131466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 131466040 is about 11465.8641192018. The cubic root of 131466040 is about 508.4768601853.

The spelling of 131466040 in words is "one hundred thirty-one million, four hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 97 124 155 194 248 310 388 485 620 776 970 1093 1240 1940 2186 3007 3880 4372 5465 6014 8744 10930 12028 15035 21860 24056 30070 33883 43720 60140 67766 106021 120280 135532 169415 212042 271064 338830 424084 530105 677660 848168 1060210 1355320 2120420 3286651 4240840 6573302 13146604 16433255 26293208 32866510 65733020 131466040