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129840480 = 253257111171
BaseRepresentation
bin1111011110100…
…11010101100000
3100001022120122200
413233103111200
5231214343410
620514533200
73134424450
oct757232540
9301276580
10129840480
1167323090
1237597200
1320b90cb3
141335bd60
15b5eb3c0
hex7bd3560

129840480 has 288 divisors, whose sum is σ = 552883968. Its totient is φ = 26956800.

The previous prime is 129840443. The next prime is 129840499. The reversal of 129840480 is 84048921.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 110295 + ... + 111465.

It is an arithmetic number, because the mean of its divisors is an integer number (1919736).

Almost surely, 2129840480 is an apocalyptic number.

129840480 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 129840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276441984).

129840480 is an abundant number, since it is smaller than the sum of its proper divisors (423043488).

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

129840480 is a wasteful number, since it uses less digits than its factorization.

129840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 129840480 is about 11394.7566889337. The cubic root of 129840480 is about 506.3724130132.

The spelling of 129840480 in words is "one hundred twenty-nine million, eight hundred forty thousand, four hundred eighty".