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129732096 = 293137389
BaseRepresentation
bin1111011101110…
…00111000000000
3100001010001222110
413232320320000
5231202411341
620512335320
73133463454
oct756707000
9301101873
10129732096
116725970a
1237544540
1320b53870
1413330664
15b5c9216
hex7bb8e00

129732096 has 160 divisors (see below), whose sum is σ = 381538080. Its totient is φ = 38928384.

The previous prime is 129732073. The next prime is 129732139. The reversal of 129732096 is 690237921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1457620 + ... + 1457708.

It is an arithmetic number, because the mean of its divisors is an integer number (2384613).

Almost surely, 2129732096 is an apocalyptic number.

129732096 is a gapful number since it is divisible by the number (16) 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 129732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190769040).

129732096 is an abundant number, since it is smaller than the sum of its proper divisors (251805984).

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

129732096 is an equidigital number, since it uses as much as digits as its factorization.

129732096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 129732096 is about 11389.9998244074. Note that the first 3 decimals coincide. The cubic root of 129732096 is about 506.2314761093.

The spelling of 129732096 in words is "one hundred twenty-nine million, seven hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 89 96 104 128 146 156 178 192 208 219 256 267 292 312 356 384 416 438 512 534 584 624 712 768 832 876 949 1068 1157 1168 1248 1424 1536 1664 1752 1898 2136 2314 2336 2496 2847 2848 3328 3471 3504 3796 4272 4628 4672 4992 5694 5696 6497 6656 6942 7008 7592 8544 9256 9344 9984 11388 11392 12994 13884 14016 15184 17088 18512 18688 19491 19968 22776 22784 25988 27768 28032 30368 34176 37024 37376 38982 45552 45568 51976 55536 56064 60736 68352 74048 77964 84461 91104 103952 111072 112128 121472 136704 148096 155928 168922 182208 207904 222144 242944 253383 296192 311856 337844 364416 415808 444288 485888 506766 592384 623712 675688 728832 831616 888576 1013532 1247424 1351376 1457664 1663232 1777152 2027064 2494848 2702752 3326464 4054128 4989696 5405504 8108256 9979392 10811008 16216512 21622016 32433024 43244032 64866048 129732096