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129680640 = 2832511257
BaseRepresentation
bin1111011101011…
…00010100000000
3100001000110101200
413232230110000
5231144240030
620511301200
73133160445
oct756542400
9301013350
10129680640
1167223a91
123751a800
1320b3630b
14133199cc
15b5b8d60
hex7bac500

129680640 has 108 divisors (see below), whose sum is σ = 448721364. Its totient is φ = 34578432.

The previous prime is 129680623. The next prime is 129680651. The reversal of 129680640 is 46086921.

129680640 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 8 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80568576 + 49112064 = 8976^2 + 7008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129680595 and 129680604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5892 + ... + 17148.

Almost surely, 2129680640 is an apocalyptic number.

129680640 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 129680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224360682).

129680640 is an abundant number, since it is smaller than the sum of its proper divisors (319040724).

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

129680640 is a wasteful number, since it uses less digits than its factorization.

129680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129680640 is about 11387.7407768178. The cubic root of 129680640 is about 506.1645379284.

The spelling of 129680640 in words is "one hundred twenty-nine million, six hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11257 11520 22514 33771 45028 56285 67542 90056 101313 112570 135084 168855 180112 202626 225140 270168 337710 360224 405252 450280 506565 540336 675420 720448 810504 900560 1013130 1080672 1350840 1440896 1621008 1801120 2026260 2161344 2701680 2881792 3242016 3602240 4052520 4322688 5403360 6484032 7204480 8105040 8645376 10806720 12968064 14408960 16210080 21613440 25936128 32420160 43226880 64840320 129680640