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129966480 = 243257107241
BaseRepresentation
bin1111011111100…
…10000110010000
3100001112222111100
413233302012100
5231232411410
620521344400
73135461010
oct757620620
9301488440
10129966480
11673a9816
1237638100
1320c06457
1413391c40
15b6238c0
hex7bf2190

129966480 has 240 divisors, whose sum is σ = 505574784. Its totient is φ = 29306880.

The previous prime is 129966469. The next prime is 129966493. The reversal of 129966480 is 84669921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539160 + ... + 539400.

Almost surely, 2129966480 is an apocalyptic number.

129966480 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 129966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787392).

129966480 is an abundant number, since it is smaller than the sum of its proper divisors (375608304).

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

129966480 is a wasteful number, since it uses less digits than its factorization.

129966480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 129966480 is about 11400.2842069836. The cubic root of 129966480 is about 506.5361582914.

The spelling of 129966480 in words is "one hundred twenty-nine million, nine hundred sixty-six thousand, four hundred eighty".