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129688320 = 283533773
BaseRepresentation
bin1111011101011…
…10001100000000
3100001000211221010
413232232030000
5231200011240
620511400520
73133222026
oct756561400
9301024833
10129688320
1167229833
1237523140
1320b39968
141331c716
15b5bb280
hex7bae300

129688320 has 72 divisors (see below), whose sum is σ = 414204336. Its totient is φ = 34582528.

The previous prime is 129688303. The next prime is 129688333. The reversal of 129688320 is 23886921.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 13047 + ... + 20726.

It is an arithmetic number, because the mean of its divisors is an integer number (5752838).

Almost surely, 2129688320 is an apocalyptic number.

129688320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129688320 is an abundant number, since it is smaller than the sum of its proper divisors (284516016).

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

129688320 is an equidigital number, since it uses as much as digits as its factorization.

129688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33797 (or 33783 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 129688320 is about 11388.0779765507. The cubic root of 129688320 is about 506.1745298258.

The spelling of 129688320 in words is "one hundred twenty-nine million, six hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 33773 67546 101319 135092 168865 202638 270184 337730 405276 506595 540368 675460 810552 1013190 1080736 1350920 1621104 2026380 2161472 2701840 3242208 4052760 4322944 5403680 6484416 8105520 8645888 10807360 12968832 16211040 21614720 25937664 32422080 43229440 64844160 129688320