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129142680 = 23352933673
BaseRepresentation
bin1111011001010…
…00111110011000
3100000000010110020
413230220332120
5231030031210
620451550440
73125460162
oct754507630
9300003406
10129142680
1166996897
12372bb420
13209a84b4
1413219932
15b50e770
hex7b28f98

129142680 has 64 divisors (see below), whose sum is σ = 388856160. Its totient is φ = 34311168.

The previous prime is 129142667. The next prime is 129142703. The reversal of 129142680 is 86241921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33324 + ... + 36996.

Almost surely, 2129142680 is an apocalyptic number.

129142680 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 129142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194428080).

129142680 is an abundant number, since it is smaller than the sum of its proper divisors (259713480).

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

129142680 is a wasteful number, since it uses less digits than its factorization.

129142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 129142680 is about 11364.0960925188. The cubic root of 129142680 is about 505.4636528638.

The spelling of 129142680 in words is "one hundred twenty-nine million, one hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1465 1758 2344 2930 3516 3673 4395 5860 7032 7346 8790 11019 11720 14692 17580 18365 22038 29384 35160 36730 44076 55095 73460 88152 110190 146920 220380 440760 1076189 2152378 3228567 4304756 5380945 6457134 8609512 10761890 12914268 16142835 21523780 25828536 32285670 43047560 64571340 129142680