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12140352 = 263273011
BaseRepresentation
bin101110010011…
…111101000000
3211211210102200
4232103331000
511101442402
61112113200
7205122420
oct56237500
924753380
1012140352
116942254
124095800
132690b53
141880480
1510ec21c
hexb93f40

12140352 has 84 divisors (see below), whose sum is σ = 39782496. Its totient is φ = 3467520.

The previous prime is 12140351. The next prime is 12140353. The reversal of 12140352 is 25304121.

12140352 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 (12140351) and next prime (12140353).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2527 + ... + 5537.

Almost surely, 212140352 is an apocalyptic number.

12140352 is a gapful number since it is divisible by the number (12) 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 12140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891248).

12140352 is an abundant number, since it is smaller than the sum of its proper divisors (27642144).

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

12140352 is a wasteful number, since it uses less digits than its factorization.

12140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12140352 is about 3484.3007906896. The cubic root of 12140352 is about 229.8319629590.

Adding to 12140352 its reverse (25304121), we get a palindrome (37444473).

The spelling of 12140352 in words is "twelve million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3011 4032 6022 9033 12044 18066 21077 24088 27099 36132 42154 48176 54198 63231 72264 84308 96352 108396 126462 144528 168616 189693 192704 216792 252924 289056 337232 379386 433584 505848 578112 674464 758772 867168 1011696 1348928 1517544 1734336 2023392 3035088 4046784 6070176 12140352