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129830208 = 2635973157
BaseRepresentation
bin1111011110100…
…00110101000000
3100001022001120020
413233100311000
5231214031313
620514413440
73134352504
oct757206500
9301261506
10129830208
11673163a2
1237591280
1320b89411
1413358304
15b5e8323
hex7bd0d40

129830208 has 112 divisors (see below), whose sum is σ = 356372160. Its totient is φ = 41693184.

The previous prime is 129830191. The next prime is 129830221. The reversal of 129830208 is 802038921.

It is a congruent number.

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, 826866 + ... + 827022.

Almost surely, 2129830208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178186080).

129830208 is an abundant number, since it is smaller than the sum of its proper divisors (226541952).

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

129830208 is a wasteful number, since it uses less digits than its factorization.

129830208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 129830208 is about 11394.3059463927. The cubic root of 129830208 is about 506.3590592050.

The spelling of 129830208 in words is "one hundred twenty-nine million, eight hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 73 96 118 146 157 177 192 219 236 292 314 354 438 471 472 584 628 708 876 942 944 1168 1256 1416 1752 1884 1888 2336 2512 2832 3504 3768 3776 4307 4672 5024 5664 7008 7536 8614 9263 10048 11328 11461 12921 14016 15072 17228 18526 22922 25842 27789 30144 34383 34456 37052 45844 51684 55578 68766 68912 74104 91688 103368 111156 137532 137824 148208 183376 206736 222312 275064 275648 296416 366752 413472 444624 550128 592832 676199 733504 826944 889248 1100256 1352398 1778496 2028597 2200512 2704796 4057194 5409592 8114388 10819184 16228776 21638368 32457552 43276736 64915104 129830208