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12142452 = 2237314663
BaseRepresentation
bin101110010100…
…011101110100
3211211220022110
4232110131310
511102024302
61112131020
7205131510
oct56243564
924756273
1012142452
116943893
124096a70
132691aaa
141881140
1510ecb6c
hexb94774

12142452 has 48 divisors (see below), whose sum is σ = 33431552. Its totient is φ = 3356640.

The previous prime is 12142451. The next prime is 12142499. The reversal of 12142452 is 25424121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273 + ... + 4935.

Almost surely, 212142452 is an apocalyptic number.

12142452 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 12142452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16715776).

12142452 is an abundant number, since it is smaller than the sum of its proper divisors (21289100).

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

12142452 is a wasteful number, since it uses less digits than its factorization.

12142452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4706 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 12142452 is about 3484.6021293686. The cubic root of 12142452 is about 229.8452140656.

Adding to 12142452 its reverse (25424121), we get a palindrome (37566573).

The spelling of 12142452 in words is "twelve million, one hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 4663 9326 13989 18652 27978 32641 55956 65282 97923 130564 144553 195846 289106 391692 433659 578212 867318 1011871 1734636 2023742 3035613 4047484 6071226 12142452