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129690288 = 24337133299
BaseRepresentation
bin1111011101011…
…10101010110000
3100001000221122000
413232232222300
5231200042123
620511414000
73133230540
oct756565260
9301027560
10129690288
1167230262
1237524300
1320b3a820
141331d320
15b5bbb43
hex7baeab0

129690288 has 160 divisors (see below), whose sum is σ = 458304000. Its totient is φ = 34193664.

The previous prime is 129690283. The next prime is 129690293. The reversal of 129690288 is 882096921.

It is an interprime number because it is at equal distance from previous prime (129690283) and next prime (129690293).

It is not an unprimeable number, because it can be changed into a prime (129690283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37663 + ... + 40961.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2129690288 is an apocalyptic number.

129690288 is a gapful number since it is divisible by the number (18) 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 129690288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152000).

129690288 is an abundant number, since it is smaller than the sum of its proper divisors (328613712).

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

129690288 is a wasteful number, since it uses less digits than its factorization.

129690288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 129690288 is about 11388.1643823752. The cubic root of 129690288 is about 506.1770901859.

The spelling of 129690288 in words is "one hundred twenty-nine million, six hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 3299 4368 4914 5616 6552 6598 9828 9897 13104 13196 19656 19794 23093 26392 29691 39312 39588 42887 46186 52784 59382 69279 79176 85774 89073 92372 118764 128661 138558 158352 171548 178146 184744 207837 237528 257322 277116 300209 343096 356292 369488 385983 415674 475056 514644 554232 600418 623511 686192 712584 771966 831348 900627 1029288 1108464 1157949 1200836 1247022 1425168 1543932 1662696 1801254 2058576 2315898 2401672 2494044 2701881 3087864 3325392 3602508 4631796 4803344 4988088 5403762 6175728 7205016 8105643 9263592 9976176 10807524 14410032 16211286 18527184 21615048 32422572 43230096 64845144 129690288