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12135744 = 26342341
BaseRepresentation
bin101110010010…
…110101000000
3211211120010000
4232102311000
511101320434
61112040000
7205103115
oct56226500
924746100
1012135744
116939845
124093000
13268ba1a
14187c90c
1510eab99
hexb92d40

12135744 has 70 divisors (see below), whose sum is σ = 35989514. Its totient is φ = 4043520.

The previous prime is 12135727. The next prime is 12135749. The reversal of 12135744 is 44753121.

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 1166400 = 3312^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135749) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4014 + ... + 6354.

Almost surely, 212135744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994757).

12135744 is an abundant number, since it is smaller than the sum of its proper divisors (23853770).

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

12135744 is an equidigital number, since it uses as much as digits as its factorization.

12135744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2346 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 12135744 is about 3483.6394761800. The cubic root of 12135744 is about 229.8028808888.

Adding to 12135744 its reverse (44753121), we get a palindrome (56888865).

The spelling of 12135744 in words is "twelve million, one hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2341 2592 4682 5184 7023 9364 14046 18728 21069 28092 37456 42138 56184 63207 74912 84276 112368 126414 149824 168552 189621 224736 252828 337104 379242 449472 505656 674208 758484 1011312 1348416 1516968 2022624 3033936 4045248 6067872 12135744