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129630792 = 23353223457
BaseRepresentation
bin1111011101000…
…00001001001000
3100000220221000110
413232200021020
5231141141132
620510234320
73132562224
oct756401110
9300827013
10129630792
116719a595
12374b59a0
1320b19715
1413305784
15b5a91cc
hex7ba0248

129630792 has 64 divisors (see below), whose sum is σ = 332398080. Its totient is φ = 42112512.

The previous prime is 129630791. The next prime is 129630793. The reversal of 129630792 is 297036921.

129630792 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (129630791) and next prime (129630793).

It is a self number, because there is not a number n which added to its sum of digits gives 129630792.

It is not an unprimeable number, because it can be changed into a prime (129630791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283428 + ... + 283884.

It is an arithmetic number, because the mean of its divisors is an integer number (5193720).

Almost surely, 2129630792 is an apocalyptic number.

129630792 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 129630792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166199040).

129630792 is an abundant number, since it is smaller than the sum of its proper divisors (202767288).

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

129630792 is a wasteful number, since it uses less digits than its factorization.

129630792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 129630792 is about 11385.5518970316. The cubic root of 129630792 is about 506.0996746781.

The spelling of 129630792 in words is "one hundred twenty-nine million, six hundred thirty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 223 318 424 446 457 636 669 892 914 1272 1338 1371 1784 1828 2676 2742 3656 5352 5484 10968 11819 23638 24221 35457 47276 48442 70914 72663 94552 96884 101911 141828 145326 193768 203822 283656 290652 305733 407644 581304 611466 815288 1222932 2445864 5401283 10802566 16203849 21605132 32407698 43210264 64815396 129630792