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129908480 = 2851337211
BaseRepresentation
bin1111011111000…
…11111100000000
3100001110000221012
413233203330000
5231224032410
620520220052
73135126632
oct757437400
9301400835
10129908480
116736a189
123760a628
1320bb5c30
1413378a52
15b611605
hex7be3f00

129908480 has 144 divisors (see below), whose sum is σ = 345795744. Its totient is φ = 46448640.

The previous prime is 129908477. The next prime is 129908497. The reversal of 129908480 is 84809921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615575 + ... + 615785.

Almost surely, 2129908480 is an apocalyptic number.

129908480 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 129908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172897872).

129908480 is an abundant number, since it is smaller than the sum of its proper divisors (215887264).

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

129908480 is a wasteful number, since it uses less digits than its factorization.

129908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 129908480 is about 11397.7401268848. The cubic root of 129908480 is about 506.4607966326.

The spelling of 129908480 in words is "one hundred twenty-nine million, nine hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 128 130 148 160 185 208 211 256 260 296 320 370 416 422 481 520 592 640 740 832 844 962 1040 1055 1184 1280 1480 1664 1688 1924 2080 2110 2368 2405 2743 2960 3328 3376 3848 4160 4220 4736 4810 5486 5920 6752 7696 7807 8320 8440 9472 9620 10972 11840 13504 13715 15392 15614 16640 16880 19240 21944 23680 27008 27430 30784 31228 33760 38480 39035 43888 47360 54016 54860 61568 62456 67520 76960 78070 87776 101491 109720 123136 124912 135040 153920 156140 175552 202982 219440 249824 270080 307840 312280 351104 405964 438880 499648 507455 615680 624560 702208 811928 877760 999296 1014910 1249120 1623856 1755520 1998592 2029820 2498240 3247712 3511040 4059640 4996480 6495424 8119280 9992960 12990848 16238560 25981696 32477120 64954240 129908480