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129142320 = 2435538093
BaseRepresentation
bin1111011001010…
…00111000110000
3100000000002221220
413230220320300
5231030023240
620451545040
73125456136
oct754507060
9300002856
10129142320
116699659a
12372bb180
13209a8298
1413219756
15b50e5d0
hex7b28e30

129142320 has 40 divisors (see below), whose sum is σ = 400341936. Its totient is φ = 34437888.

The previous prime is 129142271. The next prime is 129142331. The reversal of 129142320 is 23241921.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 268807 + ... + 269286.

Almost surely, 2129142320 is an apocalyptic number.

129142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129142320 is an abundant number, since it is smaller than the sum of its proper divisors (271199616).

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

129142320 is a wasteful number, since it uses less digits than its factorization.

129142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538109 (or 538103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 129142320 is about 11364.0802531485. The cubic root of 129142320 is about 505.4631831841.

The spelling of 129142320 in words is "one hundred twenty-nine million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 538093 1076186 1614279 2152372 2690465 3228558 4304744 5380930 6457116 8071395 8609488 10761860 12914232 16142790 21523720 25828464 32285580 43047440 64571160 129142320