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129521720 = 23531671559
BaseRepresentation
bin1111011100001…
…01100000111000
3100000201101101202
413232011200320
5231124143340
620504033332
73131626226
oct756054070
9300641352
10129521720
1167125649
1237462848
1320aabb93
14132b7b16
15b586c15
hex7b85838

129521720 has 64 divisors (see below), whose sum is σ = 305510400. Its totient is φ = 49357440.

The previous prime is 129521669. The next prime is 129521723. The reversal of 129521720 is 27125921.

It is a super-3 number, since 3×1295217203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129521723) by changing a digit.

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, 82301 + ... + 83859.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2129521720 is an apocalyptic number.

129521720 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 129521720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

129521720 is an abundant number, since it is smaller than the sum of its proper divisors (175988680).

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

129521720 is a wasteful number, since it uses less digits than its factorization.

129521720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 129521720 is about 11380.7609587409. The cubic root of 129521720 is about 505.9576899116.

The spelling of 129521720 in words is "one hundred twenty-nine million, five hundred twenty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 155 248 268 310 335 536 620 670 1240 1340 1559 2077 2680 3118 4154 6236 7795 8308 10385 12472 15590 16616 20770 31180 41540 48329 62360 83080 96658 104453 193316 208906 241645 386632 417812 483290 522265 835624 966580 1044530 1933160 2089060 3238043 4178120 6476086 12952172 16190215 25904344 32380430 64760860 129521720