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15342124 = 2273759251
BaseRepresentation
bin111010100001…
…101000101100
31001212110102211
4322201220230
512411421444
61304500204
7244256140
oct72415054
931773384
1015342124
118729846
12517a664
1332422a5
142075220
151530c34
hexea1a2c

15342124 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 6264000.

The previous prime is 15342113. The next prime is 15342133. The reversal of 15342124 is 42124351.

It is a junction number, because it is equal to n+sod(n) for n = 15342095 and 15342104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60999 + ... + 61249.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 215342124 is an apocalyptic number.

15342124 is a gapful number since it is divisible by the number (14) 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 15342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

15342124 is an abundant number, since it is smaller than the sum of its proper divisors (16833236).

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

15342124 is a wasteful number, since it uses less digits than its factorization.

15342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 15342124 is about 3916.9023475190. The cubic root of 15342124 is about 248.4821309451.

Adding to 15342124 its reverse (42124351), we get a palindrome (57466475).

The spelling of 15342124 in words is "fifteen million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 59 74 118 148 236 251 259 413 502 518 826 1004 1036 1652 1757 2183 3514 4366 7028 8732 9287 14809 15281 18574 29618 30562 37148 59236 61124 65009 103663 130018 207326 260036 414652 547933 1095866 2191732 3835531 7671062 15342124