Search a number
-
+
12338112 = 263179359
BaseRepresentation
bin101111000100…
…001111000000
3212012211201010
4233010033000
511124304422
61120240520
7206605113
oct57041700
925184633
1012338112
116a67896
124170140
13272cb77
1418d257a
15113ab0c
hexbc43c0

12338112 has 56 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 4078336.

The previous prime is 12338101. The next prime is 12338129. The reversal of 12338112 is 21183321.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 34189 + ... + 34547.

Almost surely, 212338112 is an apocalyptic number.

12338112 is a gapful number since it is divisible by the number (12) 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 12338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

12338112 is an abundant number, since it is smaller than the sum of its proper divisors (20580288).

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

12338112 is a wasteful number, since it uses less digits than its factorization.

12338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 12338112 is about 3512.5648748457. The cubic root of 12338112 is about 231.0731950729.

The spelling of 12338112 in words is "twelve million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 359 537 716 718 1074 1077 1432 1436 2148 2154 2864 2872 4296 4308 5728 5744 8592 8616 11456 11488 17184 17232 22976 34368 34464 64261 68928 128522 192783 257044 385566 514088 771132 1028176 1542264 2056352 3084528 4112704 6169056 12338112