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129060864 = 21234389
BaseRepresentation
bin1111011000101…
…01000000000000
322222211222020000
413230111000000
5231014421424
620450120000
73124666512
oct754250000
9288758200
10129060864
1166940379
1237280000
132097a19a
14131d7bb2
15b4e53c9
hex7b15000

129060864 has 130 divisors (see below), whose sum is σ = 386533290. Its totient is φ = 42909696.

The previous prime is 129060839. The next prime is 129060871. The reversal of 129060864 is 468060921.

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 33177600 = 9792^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331582 + ... + 331970.

It is an arithmetic number, because the mean of its divisors is an integer number (2973333).

Almost surely, 2129060864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193266645).

129060864 is an abundant number, since it is smaller than the sum of its proper divisors (257472426).

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

129060864 is an frugal number, since it uses more digits than its factorization.

129060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129060864 is about 11360.4957638300. The cubic root of 129060864 is about 505.3568878745.

The spelling of 129060864 in words is "one hundred twenty-nine million, sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 389 432 512 576 648 768 778 864 1024 1152 1167 1296 1536 1556 1728 2048 2304 2334 2592 3072 3112 3456 3501 4096 4608 4668 5184 6144 6224 6912 7002 9216 9336 10368 10503 12288 12448 13824 14004 18432 18672 20736 21006 24896 27648 28008 31509 36864 37344 41472 42012 49792 55296 56016 63018 74688 82944 84024 99584 110592 112032 126036 149376 165888 168048 199168 224064 252072 298752 331776 336096 398336 448128 504144 597504 672192 796672 896256 1008288 1195008 1344384 1593344 1792512 2016576 2390016 2688768 3585024 4033152 4780032 5377536 7170048 8066304 10755072 14340096 16132608 21510144 32265216 43020288 64530432 129060864