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129491264 = 267299967
BaseRepresentation
bin1111011011111…
…10000101000000
3100000122211121202
413231332011000
5231122210024
620503240332
73131441360
oct755760500
9300584552
10129491264
1167104781
12374490a8
1320a9b066
14132aa9a0
15b57cbae
hex7b7e140

129491264 has 56 divisors (see below), whose sum is σ = 303824640. Its totient is φ = 53577216.

The previous prime is 129491233. The next prime is 129491267. The reversal of 129491264 is 462194921.

129491264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129491267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8009 + ... + 17975.

It is an arithmetic number, because the mean of its divisors is an integer number (5425440).

Almost surely, 2129491264 is an apocalyptic number.

129491264 is a gapful number since it is divisible by the number (14) 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 129491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151912320).

129491264 is an abundant number, since it is smaller than the sum of its proper divisors (174333376).

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

129491264 is an equidigital number, since it uses as much as digits as its factorization.

129491264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10015 (or 10005 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 129491264 is about 11379.4228324639. The cubic root of 129491264 is about 505.9180294970.

The spelling of 129491264 in words is "one hundred twenty-nine million, four hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 9967 12992 19934 39868 69769 79736 139538 159472 279076 289043 318944 558152 578086 637888 1116304 1156172 2023301 2232608 2312344 4046602 4465216 4624688 8093204 9249376 16186408 18498752 32372816 64745632 129491264