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12143264 = 257232357
BaseRepresentation
bin101110010100…
…101010100000
3211211221102112
4232110222200
511102041024
61112134452
7205134050
oct56245240
924757375
1012143264
116944461
124097428
132692283
141881560
1510ed00e
hexb94aa0

12143264 has 48 divisors (see below), whose sum is σ = 28522368. Its totient is φ = 4975872.

The previous prime is 12143251. The next prime is 12143291. The reversal of 12143264 is 46234121.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3974 + ... + 6330.

It is an arithmetic number, because the mean of its divisors is an integer number (594216).

Almost surely, 212143264 is an apocalyptic number.

12143264 is a gapful number since it is divisible by the number (14) 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 12143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261184).

12143264 is an abundant number, since it is smaller than the sum of its proper divisors (16379104).

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

12143264 is a wasteful number, since it uses less digits than its factorization.

12143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2389 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 12143264 is about 3484.7186400052. The cubic root of 12143264 is about 229.8503374173.

Adding to 12143264 its reverse (46234121), we get a palindrome (58377385).

It can be divided in two parts, 121 and 43264, that multiplied together give a square (5234944 = 22882).

The spelling of 12143264 in words is "twelve million, one hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2357 2576 4714 5152 9428 16499 18856 32998 37712 54211 65996 75424 108422 131992 216844 263984 379477 433688 527968 758954 867376 1517908 1734752 3035816 6071632 12143264