Search a number
-
+
12297140 = 2254379181
BaseRepresentation
bin101110111010…
…001110110100
3212010202111122
4232322032310
511122002030
61115323112
7206344502
oct56721664
925122448
1012297140
116a3a029
124150498
13271731b
1418c1672
15112d8e5
hexbba3b4

12297140 has 48 divisors (see below), whose sum is σ = 26906880. Its totient is φ = 4717440.

The previous prime is 12297083. The next prime is 12297143. The reversal of 12297140 is 4179221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12297143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67850 + ... + 68030.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 212297140 is an apocalyptic number.

12297140 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 12297140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453440).

12297140 is an abundant number, since it is smaller than the sum of its proper divisors (14609740).

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

12297140 is a wasteful number, since it uses less digits than its factorization.

12297140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 12297140 is about 3506.7278194921. The cubic root of 12297140 is about 230.8171313102.

The spelling of 12297140 in words is "twelve million, two hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 79 86 158 172 181 215 316 362 395 430 724 790 860 905 1580 1810 3397 3620 6794 7783 13588 14299 15566 16985 28598 31132 33970 38915 57196 67940 71495 77830 142990 155660 285980 614857 1229714 2459428 3074285 6148570 12297140