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12143712 = 2537171063
BaseRepresentation
bin101110010100…
…110001100000
3211211222001010
4232110301200
511102044322
61112140520
7205135260
oct56246140
924758033
1012143712
116944829
124097740
132692539
1418817a0
1510ed20c
hexb94c60

12143712 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3262464.

The previous prime is 12143711. The next prime is 12143713. The reversal of 12143712 is 21734121.

It is an interprime number because it is at equal distance from previous prime (12143711) and next prime (12143713).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121437122 = 294939482277888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10893 + ... + 11955.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 212143712 is an apocalyptic number.

12143712 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 12143712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

12143712 is an abundant number, since it is smaller than the sum of its proper divisors (26466720).

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

12143712 is a wasteful number, since it uses less digits than its factorization.

12143712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 12143712 is about 3484.7829200683. The cubic root of 12143712 is about 229.8531639963.

Adding to 12143712 its reverse (21734121), we get a palindrome (33877833).

The spelling of 12143712 in words is "twelve million, one hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1063 1428 1632 1904 2126 2856 3189 3808 4252 5712 6378 7441 8504 11424 12756 14882 17008 18071 22323 25512 29764 34016 36142 44646 51024 54213 59528 72284 89292 102048 108426 119056 126497 144568 178584 216852 238112 252994 289136 357168 379491 433704 505988 578272 714336 758982 867408 1011976 1517964 1734816 2023952 3035928 4047904 6071856 12143712