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129303104 = 267349827
BaseRepresentation
bin1111011010100…
…00001001000000
3100000022021111212
413231100021000
5231100144404
620455225252
73130025660
oct755201100
9300267455
10129303104
1166a96377
1237378228
1320a33518
141325c1a0
15b54206e
hex7b50240

129303104 has 56 divisors (see below), whose sum is σ = 294436800. Its totient is φ = 55190016.

The previous prime is 129303101. The next prime is 129303131. The reversal of 129303104 is 401303921.

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

It is a self number, because there is not a number n which added to its sum of digits gives 129303104.

It is not an unprimeable number, because it can be changed into a prime (129303101) 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, 155939 + ... + 156765.

It is an arithmetic number, because the mean of its divisors is an integer number (5257800).

Almost surely, 2129303104 is an apocalyptic number.

129303104 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 129303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218400).

129303104 is an abundant number, since it is smaller than the sum of its proper divisors (165133696).

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

129303104 is an equidigital number, since it uses as much as digits as its factorization.

129303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 129303104 is about 11371.1522723073. The cubic root of 129303104 is about 505.6728657734.

The spelling of 129303104 in words is "one hundred twenty-nine million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 349 448 698 827 1396 1654 2443 2792 3308 4886 5584 5789 6616 9772 11168 11578 13232 19544 22336 23156 26464 39088 46312 52928 78176 92624 156352 185248 288623 370496 577246 1154492 2020361 2308984 4040722 4617968 8081444 9235936 16162888 18471872 32325776 64651552 129303104