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12294960 = 243551229
BaseRepresentation
bin101110111001…
…101100110000
3212010122111220
4232321230300
511121414320
61115305040
7206335236
oct56715460
925118456
1012294960
116a38427
12414b180
132716332
1418c0956
15112ce40
hexbb9b30

12294960 has 40 divisors (see below), whose sum is σ = 38115120. Its totient is φ = 3278592.

The previous prime is 12294929. The next prime is 12294979. The reversal of 12294960 is 6949221.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25375 + ... + 25854.

It is an arithmetic number, because the mean of its divisors is an integer number (952878).

Almost surely, 212294960 is an apocalyptic number.

12294960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12294960 is an abundant number, since it is smaller than the sum of its proper divisors (25820160).

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

12294960 is a wasteful number, since it uses less digits than its factorization.

12294960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51245 (or 51239 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 12294960 is about 3506.4169746338. The cubic root of 12294960 is about 230.8034909818.

The spelling of 12294960 in words is "twelve million, two hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 51229 102458 153687 204916 256145 307374 409832 512290 614748 768435 819664 1024580 1229496 1536870 2049160 2458992 3073740 4098320 6147480 12294960