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129730032 = 2433300301
BaseRepresentation
bin1111011101110…
…00010111110000
3100001002222011000
413232320113300
5231202330112
620512322000
73133454445
oct756702760
9301088130
10129730032
1167258103
1237543300
1320b52943
141332d9cc
15b5c87dc
hex7bb85f0

129730032 has 40 divisors (see below), whose sum is σ = 372374480. Its totient is φ = 43243200.

The previous prime is 129729991. The next prime is 129730033. The reversal of 129730032 is 230037921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 129729978 and 129730005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129730033) 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, 149719 + ... + 150582.

It is an arithmetic number, because the mean of its divisors is an integer number (9309362).

Almost surely, 2129730032 is an apocalyptic number.

129730032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129730032 is an abundant number, since it is smaller than the sum of its proper divisors (242644448).

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

129730032 is a wasteful number, since it uses less digits than its factorization.

129730032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300318 (or 300306 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 129730032 is about 11389.9092182510. The cubic root of 129730032 is about 506.2287914298.

Adding to 129730032 its reverse (230037921), we get a palindrome (359767953).

It can be divided in two parts, 1297 and 30032, that added together give a square (31329 = 1772).

The spelling of 129730032 in words is "one hundred twenty-nine million, seven hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 300301 600602 900903 1201204 1801806 2402408 2702709 3603612 4804816 5405418 7207224 8108127 10810836 14414448 16216254 21621672 32432508 43243344 64865016 129730032