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12293160 = 23351167139
BaseRepresentation
bin101110111001…
…010000101000
3212010120001020
4232321100220
511121340120
61115252440
7206330055
oct56712050
925116036
1012293160
116a37040
12414a120
132715579
1418c002c
15112c640
hexbb9428

12293160 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 2914560.

The previous prime is 12293137. The next prime is 12293161. The reversal of 12293160 is 6139221.

It is a super-2 number, since 2×122931602 = 302243565571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12293160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12293161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88371 + ... + 88509.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 212293160 is an apocalyptic number.

12293160 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 12293160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

12293160 is an abundant number, since it is smaller than the sum of its proper divisors (28833240).

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

12293160 is a wasteful number, since it uses less digits than its factorization.

12293160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12293160 is about 3506.1602929701. The cubic root of 12293160 is about 230.7922271100.

12293160 divided by its sum of digits (24) gives a palindrome (512215).

The spelling of 12293160 in words is "twelve million, two hundred ninety-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 139 165 201 220 264 268 278 330 335 402 417 440 536 556 660 670 695 737 804 834 1005 1112 1320 1340 1390 1474 1529 1608 1668 2010 2085 2211 2680 2780 2948 3058 3336 3685 4020 4170 4422 4587 5560 5896 6116 7370 7645 8040 8340 8844 9174 9313 11055 12232 14740 15290 16680 17688 18348 18626 22110 22935 27939 29480 30580 36696 37252 44220 45870 46565 55878 61160 74504 88440 91740 93130 102443 111756 139695 183480 186260 204886 223512 279390 307329 372520 409772 512215 558780 614658 819544 1024430 1117560 1229316 1536645 2048860 2458632 3073290 4097720 6146580 12293160