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129663240 = 23357163947
BaseRepresentation
bin1111011101010…
…00000100001000
3100000222120112020
413232220010020
5231143210430
620511044440
73133055640
oct756500410
9300876466
10129663240
1167211a03
1237510720
1320b2b415
1413313520
15b5b3b10
hex7ba8108

129663240 has 128 divisors (see below), whose sum is σ = 447759360. Its totient is φ = 29424384.

The previous prime is 129663229. The next prime is 129663293. The reversal of 129663240 is 42366921.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 136447 + ... + 137393.

It is an arithmetic number, because the mean of its divisors is an integer number (3498120).

Almost surely, 2129663240 is an apocalyptic number.

129663240 is a gapful number since it is divisible by the number (10) 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 129663240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223879680).

129663240 is an abundant number, since it is smaller than the sum of its proper divisors (318096120).

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

129663240 is a wasteful number, since it uses less digits than its factorization.

129663240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 129663240 is about 11386.9767717336. The cubic root of 129663240 is about 506.1418985766.

The spelling of 129663240 in words is "one hundred twenty-nine million, six hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 163 168 210 280 326 420 489 652 815 840 947 978 1141 1304 1630 1894 1956 2282 2445 2841 3260 3423 3788 3912 4564 4735 4890 5682 5705 6520 6629 6846 7576 9128 9470 9780 11364 11410 13258 13692 14205 17115 18940 19560 19887 22728 22820 26516 27384 28410 33145 34230 37880 39774 45640 53032 56820 66290 68460 79548 99435 113640 132580 136920 154361 159096 198870 265160 308722 397740 463083 617444 771805 795480 926166 1080527 1234888 1543610 1852332 2161054 2315415 3087220 3241581 3704664 4322108 4630830 5402635 6174440 6483162 8644216 9261660 10805270 12966324 16207905 18523320 21610540 25932648 32415810 43221080 64831620 129663240