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12153856 = 210111383
BaseRepresentation
bin101110010111…
…010000000000
3211212110221211
4232113100000
511102410411
61112255504
7205206661
oct56272000
924773854
1012153856
116951410
1240a1594
132697040
141885368
151101221
hexb97400

12153856 has 88 divisors (see below), whose sum is σ = 28887264. Its totient is φ = 5038080.

The previous prime is 12153853. The next prime is 12153857. The reversal of 12153856 is 65835121.

It is a tau number, because it is divible by the number of its divisors (88).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146391 + ... + 146473.

Almost surely, 212153856 is an apocalyptic number.

12153856 is a gapful number since it is divisible by the number (16) 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 12153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443632).

12153856 is an abundant number, since it is smaller than the sum of its proper divisors (16733408).

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

12153856 is a wasteful number, since it uses less digits than its factorization.

12153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 12153856 is about 3486.2380871076. The cubic root of 12153856 is about 229.9171472212.

Adding to 12153856 its reverse (65835121), we get a palindrome (77988977).

The spelling of 12153856 in words is "twelve million, one hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 83 88 104 128 143 166 176 208 256 286 332 352 416 512 572 664 704 832 913 1024 1079 1144 1328 1408 1664 1826 2158 2288 2656 2816 3328 3652 4316 4576 5312 5632 6656 7304 8632 9152 10624 11264 11869 13312 14608 17264 18304 21248 23738 29216 34528 36608 42496 47476 58432 69056 73216 84992 94952 116864 138112 146432 189904 233728 276224 379808 467456 552448 759616 934912 1104896 1519232 3038464 6076928 12153856