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129014240 = 2551395801
BaseRepresentation
bin1111011000010…
…01100111100000
322222202121021012
413230021213200
5231011423430
620445120052
73124413545
oct754114740
9288677235
10129014240
1166909343
1237259028
1320961bb4
14131c4bcc
15b4d6695
hex7b099e0

129014240 has 48 divisors (see below), whose sum is σ = 307041840. Its totient is φ = 51225600.

The previous prime is 129014213. The next prime is 129014261. The reversal of 129014240 is 42410921.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19340 + ... + 25140.

It is an arithmetic number, because the mean of its divisors is an integer number (6396705).

Almost surely, 2129014240 is an apocalyptic number.

129014240 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 129014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153520920).

129014240 is an abundant number, since it is smaller than the sum of its proper divisors (178027600).

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

129014240 is a wasteful number, since it uses less digits than its factorization.

129014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 129014240 is about 11358.4435553468. The cubic root of 129014240 is about 505.2960261574.

The spelling of 129014240 in words is "one hundred twenty-nine million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4448 5560 5801 11120 11602 22240 23204 29005 46408 58010 92816 116020 185632 232040 464080 806339 928160 1612678 3225356 4031695 6450712 8063390 12901424 16126780 25802848 32253560 64507120 129014240