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129330432 = 2838711
BaseRepresentation
bin1111011010101…
…10110100000000
3100000100200000000
413231112310000
5231102033212
620500000000
73130201440
oct755266400
9300320000
10129330432
1167004960
1237390000
1320a42aaa
1413268120
15b54a1dc
hex7b56d00

129330432 has 324 divisors, whose sum is σ = 482760096. Its totient is φ = 33592320.

The previous prime is 129330427. The next prime is 129330451. The reversal of 129330432 is 234033921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 129330396 and 129330405.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 11757307 + ... + 11757317.

Almost surely, 2129330432 is an apocalyptic number.

129330432 is a gapful number since it is divisible by the number (12) 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 129330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241380048).

129330432 is an abundant number, since it is smaller than the sum of its proper divisors (353429664).

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

129330432 is an frugal number, since it uses more digits than its factorization.

129330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 129330432 is about 11372.3538460602. The cubic root of 129330432 is about 505.7084876423.

The spelling of 129330432 in words is "one hundred twenty-nine million, three hundred thirty thousand, four hundred thirty-two".