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1242432 = 2633719
BaseRepresentation
bin100101111010101000000
32100010022000
410233111000
5304224212
642344000
713363152
oct4572500
92303260
101242432
11779504
124bb000
13346689
14244ad2
151981dc
hex12f540

1242432 has 56 divisors (see below), whose sum is σ = 3657600. Its totient is φ = 413568.

The previous prime is 1242421. The next prime is 1242457. The reversal of 1242432 is 2342421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 28 + 4 + 214 + 43 + 311 + 220 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1369 + ... + 2087.

21242432 is an apocalyptic number.

1242432 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 1242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828800).

1242432 is an abundant number, since it is smaller than the sum of its proper divisors (2415168).

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

1242432 is an equidigital number, since it uses as much as digits as its factorization.

1242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 1242432 is about 1114.6443378944. The cubic root of 1242432 is about 107.5038974610.

Adding to 1242432 its reverse (2342421), we get a palindrome (3584853).

It can be divided in two parts, 124 and 2432, that added together give a triangular number (2556 = T71).

The spelling of 1242432 in words is "one million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 719 864 1438 1728 2157 2876 4314 5752 6471 8628 11504 12942 17256 19413 23008 25884 34512 38826 46016 51768 69024 77652 103536 138048 155304 207072 310608 414144 621216 1242432