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129241800 = 233252193779
BaseRepresentation
bin1111011010000…
…01001011001000
3100000012011102100
413231001023020
5231041214200
620454033400
73126352152
oct755011310
9300164370
10129241800
1166a54306
1237348860
1320a1164c
1413243ad2
15b52dd00
hex7b412c8

129241800 has 144 divisors (see below), whose sum is σ = 457002000. Its totient is φ = 32641920.

The previous prime is 129241787. The next prime is 129241813. The reversal of 129241800 is 8142921.

It is an interprime number because it is at equal distance from previous prime (129241787) and next prime (129241813).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32311 + ... + 36089.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2129241800 is an apocalyptic number.

129241800 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 129241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501000).

129241800 is an abundant number, since it is smaller than the sum of its proper divisors (327760200).

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

129241800 is a wasteful number, since it uses less digits than its factorization.

129241800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 129241800 is about 11368.4563595943. The cubic root of 129241800 is about 505.5929381491.

The spelling of 129241800 in words is "one hundred twenty-nine million, two hundred forty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3779 3800 4275 5700 6840 7558 8550 11337 11400 15116 17100 18895 22674 30232 34011 34200 37790 45348 56685 68022 71801 75580 90696 94475 113370 136044 143602 151160 170055 188950 215403 226740 272088 283425 287204 340110 359005 377900 430806 453480 566850 574408 646209 680220 718010 755800 850275 861612 1077015 1133700 1292418 1360440 1436020 1700550 1723224 1795025 2154030 2267400 2584836 2872040 3231045 3401100 3590050 4308060 5169672 5385075 6462090 6802200 7180100 8616120 10770150 12924180 14360200 16155225 21540300 25848360 32310450 43080600 64620900 129241800