Search a number
-
+
12235136 = 27611567
BaseRepresentation
bin101110101011…
…000110000000
3212000121110012
4232223012000
511113011021
61114124052
7205665644
oct56530600
925017405
1012235136
1169a7491
124120628
1326c5034
1418a6c24
15111a35b
hexbab180

12235136 has 32 divisors (see below), whose sum is σ = 24790080. Its totient is φ = 6013440.

The previous prime is 12235109. The next prime is 12235147. The reversal of 12235136 is 63153221.

12235136 = T53 + T54 + ... + T418.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7025 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (774690).

Almost surely, 212235136 is an apocalyptic number.

12235136 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 12235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395040).

12235136 is an abundant number, since it is smaller than the sum of its proper divisors (12554944).

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

12235136 is an equidigital number, since it uses as much as digits as its factorization.

12235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1630 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 12235136 is about 3497.8759269019. The cubic root of 12235136 is about 230.4285394174.

Adding to 12235136 its reverse (63153221), we get a palindrome (75388357).

The spelling of 12235136 in words is "twelve million, two hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1567 1952 3134 3904 6268 7808 12536 25072 50144 95587 100288 191174 200576 382348 764696 1529392 3058784 6117568 12235136