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129870520 = 235131371823
BaseRepresentation
bin1111011110110…
…10101010111000
3100001101002212021
413233122222320
5231221324040
620515324224
73134611153
oct757325270
9301332767
10129870520
116734370a
12375b0674
1320ba1880
1413368c9a
15b60524a
hex7bdaab8

129870520 has 64 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 47576064.

The previous prime is 129870473. The next prime is 129870523. The reversal of 129870520 is 25078921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129870523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70329 + ... + 72151.

It is an arithmetic number, because the mean of its divisors is an integer number (4955580).

Almost surely, 2129870520 is an apocalyptic number.

129870520 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 129870520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

129870520 is an abundant number, since it is smaller than the sum of its proper divisors (187286600).

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

129870520 is a wasteful number, since it uses less digits than its factorization.

129870520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 129870520 is about 11396.0747628295. The cubic root of 129870520 is about 506.4114615809.

The spelling of 129870520 in words is "one hundred twenty-nine million, eight hundred seventy thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 260 274 520 548 685 1096 1370 1781 1823 2740 3562 3646 5480 7124 7292 8905 9115 14248 14584 17810 18230 23699 35620 36460 47398 71240 72920 94796 118495 189592 236990 249751 473980 499502 947960 999004 1248755 1998008 2497510 3246763 4995020 6493526 9990040 12987052 16233815 25974104 32467630 64935260 129870520