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131187480 = 23352833863
BaseRepresentation
bin1111101000111…
…00001100011000
3100010212000101120
413310130030120
5232040444410
621003445240
73152034534
oct764341430
9303760346
10131187480
1168063106
1237b26820
1321243138
14135ccbc4
15b7b5570
hex7d1c318

131187480 has 64 divisors (see below), whose sum is σ = 395055360. Its totient is φ = 34850688.

The previous prime is 131187437. The next prime is 131187491. The reversal of 131187480 is 84781131.

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, 32029 + ... + 35891.

It is an arithmetic number, because the mean of its divisors is an integer number (6172740).

Almost surely, 2131187480 is an apocalyptic number.

131187480 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 131187480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197527680).

131187480 is an abundant number, since it is smaller than the sum of its proper divisors (263867880).

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

131187480 is a wasteful number, since it uses less digits than its factorization.

131187480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 131187480 is about 11453.7103158758. The cubic root of 131187480 is about 508.1174734009.

The spelling of 131187480 in words is "one hundred thirty-one million, one hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 566 849 1132 1415 1698 2264 2830 3396 3863 4245 5660 6792 7726 8490 11320 11589 15452 16980 19315 23178 30904 33960 38630 46356 57945 77260 92712 115890 154520 231780 463560 1093229 2186458 3279687 4372916 5466145 6559374 8745832 10932290 13118748 16398435 21864580 26237496 32796870 43729160 65593740 131187480