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12904640 = 26572823
BaseRepresentation
bin110001001110…
…100011000000
3220021121211122
4301032203000
511300422030
61140331412
7214454600
oct61164300
926247748
1012904640
1173144a1
1243a3b68
13289a9a8
1419dcc00
1511ed8e5
hexc4e8c0

12904640 has 84 divisors (see below), whose sum is σ = 35789616. Its totient is φ = 4419072.

The previous prime is 12904637. The next prime is 12904643. The reversal of 12904640 is 4640921.

It is an interprime number because it is at equal distance from previous prime (12904637) and next prime (12904643).

It is not an unprimeable number, because it can be changed into a prime (12904643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15269 + ... + 16091.

Almost surely, 212904640 is an apocalyptic number.

12904640 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 12904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17894808).

12904640 is an abundant number, since it is smaller than the sum of its proper divisors (22884976).

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

12904640 is an equidigital number, since it uses as much as digits as its factorization.

12904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12904640 is about 3592.3028825532. The cubic root of 12904640 is about 234.5571257574.

The spelling of 12904640 in words is "twelve million, nine hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 823 980 1120 1568 1646 1960 2240 3136 3292 3920 4115 5761 6584 7840 8230 11522 13168 15680 16460 23044 26336 28805 32920 40327 46088 52672 57610 65840 80654 92176 115220 131680 161308 184352 201635 230440 263360 322616 368704 403270 460880 645232 806540 921760 1290464 1613080 1843520 2580928 3226160 6452320 12904640