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127325664 = 2532412263
BaseRepresentation
bin1111001011011…
…01010111100000
322212120210222100
413211231113200
5230043410124
620345010400
73104151564
oct745552740
9285523870
10127325664
1165965724
1236783a00
13204c043b
1412ca56a4
15b2a11c9
hex796d5e0

127325664 has 108 divisors (see below), whose sum is σ = 372540168. Its totient is φ = 41249280.

The previous prime is 127325659. The next prime is 127325683. The reversal of 127325664 is 466523721.

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 17 ways as a sum of consecutive naturals, for example, 483997 + ... + 484259.

It is an arithmetic number, because the mean of its divisors is an integer number (3449446).

Almost surely, 2127325664 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 127325664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186270084).

127325664 is an abundant number, since it is smaller than the sum of its proper divisors (245214504).

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

127325664 is a wasteful number, since it uses less digits than its factorization.

127325664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 309 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 127325664 is about 11283.8674221208. The cubic root of 127325664 is about 503.0818506981.

The spelling of 127325664 in words is "one hundred twenty-seven million, three hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 263 288 328 369 492 526 656 738 789 984 1052 1312 1476 1578 1681 1968 2104 2367 2952 3156 3362 3936 4208 4734 5043 5904 6312 6724 8416 9468 10086 10783 11808 12624 13448 15129 18936 20172 21566 25248 26896 30258 32349 37872 40344 43132 53792 60516 64698 75744 80688 86264 97047 121032 129396 161376 172528 194094 242064 258792 345056 388188 442103 484128 517584 776376 884206 1035168 1326309 1552752 1768412 2652618 3105504 3536824 3978927 5305236 7073648 7957854 10610472 14147296 15915708 21220944 31831416 42441888 63662832 127325664