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129894960 = 243513173179
BaseRepresentation
bin1111011111000…
…00101000110000
3100001102100101110
413233200220300
5231223114320
620520033320
73135042336
oct757405060
9301370343
10129894960
1167360008
1237602840
1320baca30
1413373b56
15b60c5e0
hex7be0a30

129894960 has 320 divisors, whose sum is σ = 479969280. Its totient is φ = 28753920.

The previous prime is 129894953. The next prime is 129894967. The reversal of 129894960 is 69498921.

It is an interprime number because it is at equal distance from previous prime (129894953) and next prime (129894967).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129894967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1644201 + ... + 1644279.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2129894960 is an apocalyptic number.

129894960 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 129894960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

129894960 is an abundant number, since it is smaller than the sum of its proper divisors (350074320).

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

129894960 is a wasteful number, since it uses less digits than its factorization.

129894960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 129894960 is about 11397.1470114235. The cubic root of 129894960 is about 506.4432263464.

The spelling of 129894960 in words is "one hundred twenty-nine million, eight hundred ninety-four thousand, nine hundred sixty".