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129983920 = 24511147709
BaseRepresentation
bin1111011111101…
…10010110110000
3100001120212102021
413233312112300
5231233441140
620522001224
73135562603
oct757662660
9301525367
10129983920
1167410930
1237646214
1320c11381
141339833a
15b628b4a
hex7bf65b0

129983920 has 40 divisors (see below), whose sum is σ = 329688720. Its totient is φ = 47266560.

The previous prime is 129983897. The next prime is 129983941. The reversal of 129983920 is 29389921.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72975 + ... + 74734.

It is an arithmetic number, because the mean of its divisors is an integer number (8242218).

Almost surely, 2129983920 is an apocalyptic number.

129983920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129983920 is an abundant number, since it is smaller than the sum of its proper divisors (199704800).

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

129983920 is a wasteful number, since it uses less digits than its factorization.

129983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147733 (or 147727 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 129983920 is about 11401.0490745370. The cubic root of 129983920 is about 506.5588143781.

The spelling of 129983920 in words is "one hundred twenty-nine million, nine hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 147709 295418 590836 738545 1181672 1477090 1624799 2363344 2954180 3249598 5908360 6499196 8123995 11816720 12998392 16247990 25996784 32495980 64991960 129983920