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12013440 = 27356257
BaseRepresentation
bin101101110100…
…111110000000
3211121100100020
4231310332000
511033412230
61105253440
7204053415
oct55647600
924540306
1012013440
11686596a
124034280
13264815a
14184a10c
1510c4810
hexb74f80

12013440 has 64 divisors (see below), whose sum is σ = 38298960. Its totient is φ = 3203072.

The previous prime is 12013433. The next prime is 12013447. The reversal of 12013440 is 4431021.

12013440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12013433) and next prime (12013447).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013447) 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, 1209 + ... + 5048.

Almost surely, 212013440 is an apocalyptic number.

12013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013440 is an abundant number, since it is smaller than the sum of its proper divisors (26285520).

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

12013440 is an equidigital number, since it uses as much as digits as its factorization.

12013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12013440 is about 3466.0409691751. The cubic root of 12013440 is about 229.0282886177.

Adding to 12013440 its reverse (4431021), we get a palindrome (16444461).

The spelling of 12013440 in words is "twelve million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6257 12514 18771 25028 31285 37542 50056 62570 75084 93855 100112 125140 150168 187710 200224 250280 300336 375420 400448 500560 600672 750840 800896 1001120 1201344 1501680 2002240 2402688 3003360 4004480 6006720 12013440