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12253136 = 247215629
BaseRepresentation
bin101110101111…
…011111010000
3212001112010212
4232233133100
511114100021
61114343252
7206102300
oct56573720
925045125
1012253136
116a09a65
12412ab28
13270029c
1418ad600
15112085b
hexbaf7d0

12253136 has 30 divisors (see below), whose sum is σ = 27618210. Its totient is φ = 5251008.

The previous prime is 12253133. The next prime is 12253147. The reversal of 12253136 is 63135221.

It can be written as a sum of positive squares in only one way, i.e., 12250000 + 3136 = 3500^2 + 56^2 .

It is a super-3 number, since 3×122531363 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7031 + ... + 8598.

It is an arithmetic number, because the mean of its divisors is an integer number (920607).

Almost surely, 212253136 is an apocalyptic number.

12253136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12253136 is an abundant number, since it is smaller than the sum of its proper divisors (15365074).

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

12253136 is a wasteful number, since it uses less digits than its factorization.

12253136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15651 (or 15638 counting only the distinct ones).

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

The square root of 12253136 is about 3500.4479713317. The cubic root of 12253136 is about 230.5414841194.

Adding to 12253136 its reverse (63135221), we get a palindrome (75388357).

It can be divided in two parts, 1225 and 3136, that multiplied together give a square (3841600 = 19602).

The spelling of 12253136 in words is "twelve million, two hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 15629 31258 62516 109403 125032 218806 250064 437612 765821 875224 1531642 1750448 3063284 6126568 12253136