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129368880 = 24335101593
BaseRepresentation
bin1111011011000…
…00001100110000
3100000102121202000
413231200030300
5231104301010
620500454000
73130421514
oct755401460
9300377660
10129368880
1167030833
12373aa300
1320a57444
1413278144
15b5567c0
hex7b60330

129368880 has 160 divisors (see below), whose sum is σ = 450774720. Its totient is φ = 34099200.

The previous prime is 129368851. The next prime is 129368903. The reversal of 129368880 is 88863921.

It is a super-2 number, since 2×1293688802 = 33472614224908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217864 + ... + 218456.

It is an arithmetic number, because the mean of its divisors is an integer number (2817342).

Almost surely, 2129368880 is an apocalyptic number.

129368880 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 129368880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225387360).

129368880 is an abundant number, since it is smaller than the sum of its proper divisors (321405840).

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

129368880 is a wasteful number, since it uses less digits than its factorization.

129368880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 129368880 is about 11374.0441356626. The cubic root of 129368880 is about 505.7585958630.

The spelling of 129368880 in words is "one hundred twenty-nine million, three hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 101 108 120 135 144 180 202 216 240 270 303 360 404 432 505 540 593 606 720 808 909 1010 1080 1186 1212 1515 1616 1779 1818 2020 2160 2372 2424 2727 2965 3030 3558 3636 4040 4545 4744 4848 5337 5454 5930 6060 7116 7272 8080 8895 9090 9488 10674 10908 11860 12120 13635 14232 14544 16011 17790 18180 21348 21816 23720 24240 26685 27270 28464 32022 35580 36360 42696 43632 47440 53370 54540 59893 64044 71160 72720 80055 85392 106740 109080 119786 128088 142320 160110 179679 213480 218160 239572 256176 299465 320220 359358 426960 479144 539037 598930 640440 718716 898395 958288 1078074 1197860 1280880 1437432 1617111 1796790 2156148 2395720 2695185 2874864 3234222 3593580 4312296 4791440 5390370 6468444 7187160 8085555 8624592 10780740 12936888 14374320 16171110 21561480 25873776 32342220 43122960 64684440 129368880