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1268124 = 2231113739
BaseRepresentation
bin100110101100110011100
32101102112120
410311212130
5311034444
643102540
713531104
oct4654634
92342476
101268124
11796840
12511a50
13355290
14250204
151a0b19
hex13599c

1268124 has 48 divisors (see below), whose sum is σ = 3480960. Its totient is φ = 354240.

The previous prime is 1268119. The next prime is 1268143. The reversal of 1268124 is 4218621.

It is an Ulam number.

Its product of digits (768) is a multiple of the sum of its prime divisors (768).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1268094 and 1268103.

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, 1347 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (72520).

21268124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740480).

1268124 is an abundant number, since it is smaller than the sum of its proper divisors (2212836).

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

1268124 is a wasteful number, since it uses less digits than its factorization.

1268124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1268124 is about 1126.1101189493. The cubic root of 1268124 is about 108.2398646787.

The spelling of 1268124 in words is "one million, two hundred sixty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 739 858 1478 1716 2217 2956 4434 8129 8868 9607 16258 19214 24387 28821 32516 38428 48774 57642 97548 105677 115284 211354 317031 422708 634062 1268124