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12542124 = 2237178783
BaseRepresentation
bin101111110110…
…000010101100
3212121012120010
4233312002230
511202321444
61124453220
7211414650
oct57660254
925535503
1012542124
1170970a1
12424a210
1327a199a
141946a60
15117b2b9
hexbf60ac

12542124 has 48 divisors (see below), whose sum is σ = 35417088. Its totient is φ = 3372288.

The previous prime is 12542113. The next prime is 12542137. The reversal of 12542124 is 42124521.

12542124 = T181 + T182 + ... + T432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12542124.

It is an unprimeable number.

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, 2964 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (737856).

Almost surely, 212542124 is an apocalyptic number.

12542124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12542124 is an abundant number, since it is smaller than the sum of its proper divisors (22874964).

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

12542124 is a wasteful number, since it uses less digits than its factorization.

12542124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8814 (or 8812 counting only the distinct ones).

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

The square root of 12542124 is about 3541.4861287318. The cubic root of 12542124 is about 232.3398457697.

Adding to 12542124 its reverse (42124521), we get a palindrome (54666645).

The spelling of 12542124 in words is "twelve million, five hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 8783 17566 26349 35132 52698 61481 105396 122962 149311 184443 245924 298622 368886 447933 597244 737772 895866 1045177 1791732 2090354 3135531 4180708 6271062 12542124