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129238032 = 24371173479
BaseRepresentation
bin1111011010000…
…00010000010000
3100000011222020210
413231000100100
5231041104112
620454004120
73126335160
oct755002020
9300158223
10129238032
1166a514a0
1237346640
1320a0ca11
14132425a0
15b52cb3c
hex7b40410

129238032 has 160 divisors (see below), whose sum is σ = 422830080. Its totient is φ = 33039360.

The previous prime is 129237947. The next prime is 129238033. The reversal of 129238032 is 230832921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (129238033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269569 + ... + 270047.

It is an arithmetic number, because the mean of its divisors is an integer number (2642688).

Almost surely, 2129238032 is an apocalyptic number.

129238032 is a gapful number since it is divisible by the number (12) 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 129238032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211415040).

129238032 is an abundant number, since it is smaller than the sum of its proper divisors (293592048).

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

129238032 is a wasteful number, since it uses less digits than its factorization.

129238032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 129238032 is about 11368.2906366788. The cubic root of 129238032 is about 505.5880246389.

The spelling of 129238032 in words is "one hundred twenty-nine million, two hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 73 77 84 88 112 132 146 154 168 176 219 231 264 292 308 336 438 462 479 511 528 584 616 803 876 924 958 1022 1168 1232 1437 1533 1606 1752 1848 1916 2044 2409 2874 3066 3212 3353 3504 3696 3832 4088 4818 5269 5621 5748 6132 6424 6706 7664 8176 9636 10059 10538 11242 11496 12264 12848 13412 15807 16863 19272 20118 21076 22484 22992 24528 26824 31614 33726 34967 36883 38544 40236 42152 44968 53648 63228 67452 69934 73766 80472 84304 89936 104901 110649 126456 134904 139868 147532 160944 209802 221298 244769 252912 269808 279736 295064 384637 419604 442596 489538 559472 590128 734307 769274 839208 885192 979076 1153911 1468614 1538548 1678416 1770384 1958152 2307822 2692459 2937228 3077096 3916304 4615644 5384918 5874456 6154192 8077377 9231288 10769836 11748912 16154754 18462576 21539672 32309508 43079344 64619016 129238032