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129833424 = 24327151853
BaseRepresentation
bin1111011110100…
…01100111010000
3100001022012222100
413233101213100
5231214132144
620514440400
73134365050
oct757214720
9301265870
10129833424
1167318856
1237593100
1320b8aa16
1413359560
15b5e9269
hex7bd19d0

129833424 has 120 divisors (see below), whose sum is σ = 418500992. Its totient is φ = 36806400.

The previous prime is 129833401. The next prime is 129833447. The reversal of 129833424 is 424338921.

It is an interprime number because it is at equal distance from previous prime (129833401) and next prime (129833447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151782 + ... + 152634.

Almost surely, 2129833424 is an apocalyptic number.

129833424 is a gapful number since it is divisible by the number (14) 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 129833424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209250496).

129833424 is an abundant number, since it is smaller than the sum of its proper divisors (288667568).

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

129833424 is a wasteful number, since it uses less digits than its factorization.

129833424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1016 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 129833424 is about 11394.4470686383. The cubic root of 129833424 is about 506.3632401459.

The spelling of 129833424 in words is "one hundred twenty-nine million, eight hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 504 604 853 906 1008 1057 1208 1359 1706 1812 2114 2416 2559 2718 3171 3412 3624 4228 5118 5436 5971 6342 6824 7248 7677 8456 9513 10236 10872 11942 12684 13648 15354 16912 17913 19026 20472 21744 23884 25368 30708 35826 38052 40944 47768 50736 53739 61416 71652 76104 95536 107478 122832 128803 143304 152208 214956 257606 286608 386409 429912 515212 772818 859824 901621 1030424 1159227 1545636 1803242 2060848 2318454 2704863 3091272 3606484 4636908 5409726 6182544 7212968 8114589 9273816 10819452 14425936 16229178 18547632 21638904 32458356 43277808 64916712 129833424