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12160368 = 243411853
BaseRepresentation
bin101110011000…
…110101110000
3211212210220000
4232120311300
511103112433
61112350000
7205234653
oct56306560
924783800
1012160368
1169562a0
1240a5300
132699cac
14188789a
151103113
hexb98d70

12160368 has 100 divisors (see below), whose sum is σ = 38440248. Its totient is φ = 3680640.

The previous prime is 12160349. The next prime is 12160381. The reversal of 12160368 is 86306121.

12160368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13830 + ... + 14682.

Almost surely, 212160368 is an apocalyptic number.

12160368 is a gapful number since it is divisible by the number (18) 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 12160368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220124).

12160368 is an abundant number, since it is smaller than the sum of its proper divisors (26279880).

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

12160368 is a wasteful number, since it uses less digits than its factorization.

12160368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12160368 is about 3487.1719200521. The cubic root of 12160368 is about 229.9582028648.

Adding to 12160368 its reverse (86306121), we get a palindrome (98466489).

Subtracting 12160368 from its reverse (86306121), we obtain a triangular number (74145753 = T12177).

The spelling of 12160368 in words is "twelve million, one hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 853 891 1188 1296 1584 1706 1782 2376 2559 3412 3564 4752 5118 6824 7128 7677 9383 10236 13648 14256 15354 18766 20472 23031 28149 30708 37532 40944 46062 56298 61416 69093 75064 84447 92124 112596 122832 138186 150128 168894 184248 225192 253341 276372 337788 368496 450384 506682 552744 675576 760023 1013364 1105488 1351152 1520046 2026728 3040092 4053456 6080184 12160368