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129541920 = 2535269879
BaseRepresentation
bin1111011100010…
…10011100100000
3100000202102002220
413232022130200
5231130320140
620504311040
73132042144
oct756123440
9300672086
10129541920
1167139842
1237472480
1320ab8131
14132c1224
15b58cbd0
hex7b8a720

129541920 has 48 divisors (see below), whose sum is σ = 408058560. Its totient is φ = 34544384.

The previous prime is 129541913. The next prime is 129541969. The reversal of 129541920 is 29145921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1295419202 = 33562218074572800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 134460 + ... + 135419.

It is an arithmetic number, because the mean of its divisors is an integer number (8501220).

Almost surely, 2129541920 is an apocalyptic number.

129541920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129541920 is an abundant number, since it is smaller than the sum of its proper divisors (278516640).

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

129541920 is a wasteful number, since it uses less digits than its factorization.

129541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269897 (or 269889 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 129541920 is about 11381.6483867672. The cubic root of 129541920 is about 505.9839913280.

The spelling of 129541920 in words is "one hundred twenty-nine million, five hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 269879 539758 809637 1079516 1349395 1619274 2159032 2698790 3238548 4048185 4318064 5397580 6477096 8096370 8636128 10795160 12954192 16192740 21590320 25908384 32385480 43180640 64770960 129541920