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129730632 = 23319714007
BaseRepresentation
bin1111011101110…
…00100001001000
3100001002222222020
413232320201020
5231202340012
620512324440
73133456263
oct756704110
9301088866
10129730632
11672585a9
1237543720
1320b52cb5
141332dcda
15b5c8a8c
hex7bb8848

129730632 has 64 divisors (see below), whose sum is σ = 346291200. Its totient is φ = 40380480.

The previous prime is 129730609. The next prime is 129730721. The reversal of 129730632 is 236037921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 129730593 and 129730602.

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 15 ways as a sum of consecutive naturals, for example, 30373 + ... + 34379.

It is an arithmetic number, because the mean of its divisors is an integer number (5410800).

Almost surely, 2129730632 is an apocalyptic number.

129730632 is a gapful number since it is divisible by the number (12) 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 129730632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173145600).

129730632 is an abundant number, since it is smaller than the sum of its proper divisors (216560568).

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

129730632 is a wasteful number, since it uses less digits than its factorization.

129730632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 129730632 is about 11389.9355573243. The cubic root of 129730632 is about 506.2295718628.

The spelling of 129730632 in words is "one hundred twenty-nine million, seven hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 852 1349 1704 2698 4007 4047 5396 8014 8094 10792 12021 16028 16188 24042 32056 32376 48084 76133 96168 152266 228399 284497 304532 456798 568994 609064 853491 913596 1137988 1706982 1827192 2275976 3413964 5405443 6827928 10810886 16216329 21621772 32432658 43243544 64865316 129730632