Search a number
-
+
12278320 = 245236673
BaseRepresentation
bin101110110101…
…101000110000
3212002210200121
4232311220300
511120401240
61115100024
7206235565
oct56655060
925083617
1012278320
116a2697a
124141614
13270b8a2
1418b886c
15112804a
hexbb5a30

12278320 has 40 divisors (see below), whose sum is σ = 29792736. Its totient is φ = 4697088.

The previous prime is 12278317. The next prime is 12278333. The reversal of 12278320 is 2387221.

12278320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497 + ... + 5176.

Almost surely, 212278320 is an apocalyptic number.

12278320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12278320 is an abundant number, since it is smaller than the sum of its proper divisors (17514416).

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

12278320 is a wasteful number, since it uses less digits than its factorization.

12278320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 12278320 is about 3504.0433787269. The cubic root of 12278320 is about 230.6993208177.

The spelling of 12278320 in words is "twelve million, two hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 6673 13346 26692 33365 53384 66730 106768 133460 153479 266920 306958 533840 613916 767395 1227832 1534790 2455664 3069580 6139160 12278320