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1242528 = 2537432
BaseRepresentation
bin100101111010110100000
32100010102120
410233112200
5304230103
642344240
713363350
oct4572640
92303376
101242528
11779591
124bb080
13346731
14244b60
15198253
hex12f5a0

1242528 has 72 divisors (see below), whose sum is σ = 3816288. Its totient is φ = 346752.

The previous prime is 1242517. The next prime is 1242569. The reversal of 1242528 is 8252421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1242498 and 1242507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28875 + ... + 28917.

It is an arithmetic number, because the mean of its divisors is an integer number (53004).

21242528 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 1242528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908144).

1242528 is an abundant number, since it is smaller than the sum of its proper divisors (2573760).

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

1242528 is an equidigital number, since it uses as much as digits as its factorization.

1242528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 55 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 1242528 is about 1114.6874001262. The cubic root of 1242528 is about 107.5066662533.

Adding to 1242528 its reverse (8252421), we get a palindrome (9494949).

It can be divided in two parts, 1242 and 528, that added together give a triangular number (1770 = T59).

The spelling of 1242528 in words is "one million, two hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 1849 2064 2408 3612 3698 4128 4816 5547 7224 7396 9632 11094 12943 14448 14792 22188 25886 28896 29584 38829 44376 51772 59168 77658 88752 103544 155316 177504 207088 310632 414176 621264 1242528