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129345480 = 233251189367
BaseRepresentation
bin1111011010110…
…10011111001000
3100000101102122100
413231122133020
5231103023410
620500153400
73130263345
oct755323710
9300342570
10129345480
11670151a0
1237398860
1320a498b4
141326d7cc
15b54e8c0
hex7b5a7c8

129345480 has 192 divisors, whose sum is σ = 465004800. Its totient is φ = 30919680.

The previous prime is 129345479. The next prime is 129345487. The reversal of 129345480 is 84543921.

129345480 is a `hidden beast` number, since 129 + 3 + 454 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129345487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352257 + ... + 352623.

It is an arithmetic number, because the mean of its divisors is an integer number (2421900).

Almost surely, 2129345480 is an apocalyptic number.

129345480 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 129345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232502400).

129345480 is an abundant number, since it is smaller than the sum of its proper divisors (335659320).

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

129345480 is a wasteful number, since it uses less digits than its factorization.

129345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 129345480 is about 11373.0154312742. The cubic root of 129345480 is about 505.7281004694.

The spelling of 129345480 in words is "one hundred twenty-nine million, three hundred forty-five thousand, four hundred eighty".