[go: up one dir, main page]

Search a number
-
+
12264880 = 245198069
BaseRepresentation
bin101110110010…
…010110110000
3212002010020211
4232302112300
511114434010
61114513504
7206151445
oct56622660
925063224
1012264880
116a17871
124135894
132705734
1418b39cc
15112408a
hexbb25b0

12264880 has 40 divisors (see below), whose sum is σ = 30020400. Its totient is φ = 4647168.

The previous prime is 12264877. The next prime is 12264881. The reversal of 12264880 is 8846221.

12264880 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 not an unprimeable number, because it can be changed into a prime (12264881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2515 + ... + 5554.

It is an arithmetic number, because the mean of its divisors is an integer number (750510).

Almost surely, 212264880 is an apocalyptic number.

12264880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12264880 is an abundant number, since it is smaller than the sum of its proper divisors (17755520).

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

12264880 is a wasteful number, since it uses less digits than its factorization.

12264880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 12264880 is about 3502.1250691544. The cubic root of 12264880 is about 230.6151146484.

The spelling of 12264880 in words is "twelve million, two hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 8069 16138 32276 40345 64552 80690 129104 153311 161380 306622 322760 613244 645520 766555 1226488 1533110 2452976 3066220 6132440 12264880