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12508704 = 2532132257
BaseRepresentation
bin101111101101…
…111000100000
3212112111201100
4233231320200
511200234304
61124034400
7211215345
oct57557040
925474640
1012508704
117073a7a
124232a00
13278c700
1419387cc
151171439
hexbede20

12508704 has 108 divisors (see below), whose sum is σ = 38668266. Its totient is φ = 3833856.

The previous prime is 12508703. The next prime is 12508723. The reversal of 12508704 is 40780521.

It can be written as a sum of positive squares in 3 ways, for example, as 10112400 + 2396304 = 3180^2 + 1548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48544 + ... + 48800.

Almost surely, 212508704 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 12508704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334133).

12508704 is an abundant number, since it is smaller than the sum of its proper divisors (26159562).

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

12508704 is a wasteful number, since it uses less digits than its factorization.

12508704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12508704 is about 3536.7646232114. The cubic root of 12508704 is about 232.1332963682.

The spelling of 12508704 in words is "twelve million, five hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 257 288 312 338 416 468 507 514 624 676 771 936 1014 1028 1248 1352 1521 1542 1872 2028 2056 2313 2704 3042 3084 3341 3744 4056 4112 4626 5408 6084 6168 6682 8112 8224 9252 10023 12168 12336 13364 16224 18504 20046 24336 24672 26728 30069 37008 40092 43433 48672 53456 60138 74016 80184 86866 106912 120276 130299 160368 173732 240552 260598 320736 347464 390897 481104 521196 694928 781794 962208 1042392 1389856 1563588 2084784 3127176 4169568 6254352 12508704