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131321680 = 24571511553
BaseRepresentation
bin1111101001111…
…00111101010000
3100011002211110221
413310330331100
5232104243210
621010402424
73153134020
oct764747520
9304084427
10131321680
1168144a16
1237b90414
132128c249
1413625a80
15b7e01da
hex7d3cf50

131321680 has 80 divisors (see below), whose sum is σ = 351477504. Its totient is φ = 44697600.

The previous prime is 131321677. The next prime is 131321681. The reversal of 131321680 is 86123131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83784 + ... + 85336.

Almost surely, 2131321680 is an apocalyptic number.

131321680 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 131321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175738752).

131321680 is an abundant number, since it is smaller than the sum of its proper divisors (220155824).

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

131321680 is a wasteful number, since it uses less digits than its factorization.

131321680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 131321680 is about 11459.5671820536. The cubic root of 131321680 is about 508.2906762258.

The spelling of 131321680 in words is "one hundred thirty-one million, three hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 755 1057 1208 1510 1553 2114 2416 3020 3106 4228 5285 6040 6212 7765 8456 10570 10871 12080 12424 15530 16912 21140 21742 24848 31060 42280 43484 54355 62120 84560 86968 108710 124240 173936 217420 234503 434840 469006 869680 938012 1172515 1641521 1876024 2345030 3283042 3752048 4690060 6566084 8207605 9380120 13132168 16415210 18760240 26264336 32830420 65660840 131321680