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129995008 = 2811135367
BaseRepresentation
bin1111011111110…
…01000100000000
3100001121102121221
413233321010000
5231234320013
620522124424
73135640123
oct757710400
9301542557
10129995008
11674191a0
1237650714
1320c16430
141339c3ba
15b62c08d
hex7bf9100

129995008 has 144 divisors (see below), whose sum is σ = 315233856. Its totient is φ = 52715520.

The previous prime is 129995003. The next prime is 129995009. The reversal of 129995008 is 800599921.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (129995003) by changing a digit.

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, 1940191 + ... + 1940257.

It is an arithmetic number, because the mean of its divisors is an integer number (2189124).

Almost surely, 2129995008 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 129995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157616928).

129995008 is an abundant number, since it is smaller than the sum of its proper divisors (185238848).

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

129995008 is a wasteful number, since it uses less digits than its factorization.

129995008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The square root of 129995008 is about 11401.5353352081. The cubic root of 129995008 is about 506.5732176069.

The spelling of 129995008 in words is "one hundred twenty-nine million, nine hundred ninety-five thousand, eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 64 67 88 104 106 128 134 143 176 208 212 256 268 286 352 416 424 536 572 583 689 704 737 832 848 871 1072 1144 1166 1378 1408 1474 1664 1696 1742 2144 2288 2332 2756 2816 2948 3328 3392 3484 3551 4288 4576 4664 5512 5896 6784 6968 7102 7579 8576 9152 9328 9581 11024 11792 13568 13936 14204 15158 17152 18304 18656 19162 22048 23584 27872 28408 30316 36608 37312 38324 39061 44096 46163 47168 55744 56816 60632 74624 76648 78122 88192 92326 94336 111488 113632 121264 149248 153296 156244 176384 184652 188672 222976 227264 242528 306592 312488 369304 454528 485056 507793 613184 624976 738608 909056 970112 1015586 1226368 1249952 1477216 1940224 2031172 2452736 2499904 2954432 4062344 4999808 5908864 8124688 9999616 11817728 16249376 32498752 64997504 129995008