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129960000 = 263254192
BaseRepresentation
bin1111011111100…
…00100001000000
3100001112122121100
413233300201000
5231232210000
620521254400
73135433062
oct757604100
9301478540
10129960000
11673a4965
1237634400
1320c03511
141338d732
15b621a00
hex7bf0840

129960000 has 315 divisors, whose sum is σ = 491273211. Its totient is φ = 32832000.

The previous prime is 129959993. The next prime is 129960001. The reversal of 129960000 is 69921.

It is a happy number.

The square root of 129960000 is 11400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 119771136 = 3192^2 + 10944^2 .

It is not an unprimeable number, because it can be changed into a prime (129960001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6839991 + ... + 6840009.

Almost surely, 2129960000 is an apocalyptic number.

129960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129960000 is the 11400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129960000

129960000 is an abundant number, since it is smaller than the sum of its proper divisors (361313211).

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

129960000 is an equidigital number, since it uses as much as digits as its factorization.

129960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 129960000 is about 506.5277396878.

The spelling of 129960000 in words is "one hundred twenty-nine million, nine hundred sixty thousand".