Search a number
-
+
129749880 = 233513312683
BaseRepresentation
bin1111011101111…
…01001101111000
3100001010222101010
413232331031320
5231203444010
620512553520
73133566351
oct756751570
9301128333
10129749880
1167271007
12375528a0
1320b5b9a0
1413336d28
15b5ce620
hex7bbd378

129749880 has 128 divisors (see below), whose sum is σ = 432875520. Its totient is φ = 30896640.

The previous prime is 129749863. The next prime is 129749881. The reversal of 129749880 is 88947921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129749881) 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, 47019 + ... + 49701.

It is an arithmetic number, because the mean of its divisors is an integer number (3381840).

Almost surely, 2129749880 is an apocalyptic number.

129749880 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 129749880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216437760).

129749880 is an abundant number, since it is smaller than the sum of its proper divisors (303125640).

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

129749880 is a wasteful number, since it uses less digits than its factorization.

129749880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 129749880 is about 11390.7804824779. The cubic root of 129749880 is about 506.2546068778.

The spelling of 129749880 in words is "one hundred twenty-nine million, seven hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 2683 3224 3720 4030 4836 5366 6045 8049 8060 9672 10732 12090 13415 16098 16120 21464 24180 26830 32196 34879 40245 48360 53660 64392 69758 80490 83173 104637 107320 139516 160980 166346 174395 209274 249519 279032 321960 332692 348790 415865 418548 499038 523185 665384 697580 831730 837096 998076 1046370 1081249 1247595 1395160 1663460 1996152 2092740 2162498 2495190 3243747 3326920 4185480 4324996 4990380 5406245 6487494 8649992 9980760 10812490 12974988 16218735 21624980 25949976 32437470 43249960 64874940 129749880