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12293360 = 245314957
BaseRepresentation
bin101110111001…
…010011110000
3212010120022122
4232321103300
511121341420
61115253412
7206330462
oct56712360
925116278
1012293360
116a37202
12414a268
1327156a1
1418c0132
15112c725
hexbb94f0

12293360 has 40 divisors (see below), whose sum is σ = 29510016. Its totient is φ = 4757760.

The previous prime is 12293357. The next prime is 12293381. The reversal of 12293360 is 6339221.

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

It is a super-2 number, since 2×122933602 = 302253400179200, which contains 22 as substring.

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, 2 + ... + 4958.

Almost surely, 212293360 is an apocalyptic number.

12293360 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 12293360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755008).

12293360 is an abundant number, since it is smaller than the sum of its proper divisors (17216656).

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

12293360 is a wasteful number, since it uses less digits than its factorization.

12293360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 12293360 is about 3506.1888140829. The cubic root of 12293360 is about 230.7934787056.

The spelling of 12293360 in words is "twelve million, two hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4957 9914 19828 24785 39656 49570 79312 99140 153667 198280 307334 396560 614668 768335 1229336 1536670 2458672 3073340 6146680 12293360