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129168960 = 2635197683
BaseRepresentation
bin1111011001011…
…11011001000000
3100000001110111120
413230233121000
5231031401320
620452312240
73125626614
oct754573100
9300043446
10129168960
1166a04608
1237312680
13209b744b
1413225344
15b517440
hex7b2f640

129168960 has 112 divisors (see below), whose sum is σ = 412796736. Its totient is φ = 34220032.

The previous prime is 129168899. The next prime is 129168979. The reversal of 129168960 is 69861921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188779 + ... + 189461.

Almost surely, 2129168960 is an apocalyptic number.

129168960 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 129168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206398368).

129168960 is an abundant number, since it is smaller than the sum of its proper divisors (283627776).

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

129168960 is a wasteful number, since it uses less digits than its factorization.

129168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 129168960 is about 11365.2523069222. The cubic root of 129168960 is about 505.4979371243.

The spelling of 129168960 in words is "one hundred twenty-nine million, one hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 197 240 320 394 480 591 683 788 960 985 1182 1366 1576 1970 2049 2364 2732 2955 3152 3415 3940 4098 4728 5464 5910 6304 6830 7880 8196 9456 10245 10928 11820 12608 13660 15760 16392 18912 20490 21856 23640 27320 31520 32784 37824 40980 43712 47280 54640 63040 65568 81960 94560 109280 131136 134551 163920 189120 218560 269102 327840 403653 538204 655680 672755 807306 1076408 1345510 1614612 2018265 2152816 2691020 3229224 4036530 4305632 5382040 6458448 8073060 8611264 10764080 12916896 16146120 21528160 25833792 32292240 43056320 64584480 129168960