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1820232 = 2334532
BaseRepresentation
bin110111100011001001000
310102110220000
412330121020
5431221412
6103003000
721320541
oct6743110
93373800
101820232
111033627
12739460
134b967b
143554c8
1525e4dc
hex1bc648

1820232 has 60 divisors (see below), whose sum is σ = 5196345. Its totient is φ = 595296.

The previous prime is 1820213. The next prime is 1820237. The reversal of 1820232 is 2320281.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1726596 + 93636 = 1314^2 + 306^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=954.

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

It is not an unprimeable number, because it can be changed into a prime (1820237) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 34318 + ... + 34370.

21820232 is an apocalyptic number.

1820232 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 1820232

1820232 is an abundant number, since it is smaller than the sum of its proper divisors (3376113).

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

1820232 is an equidigital number, since it uses as much as digits as its factorization.

1820232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1820232 is about 1349.1597385039. The cubic root of 1820232 is about 122.0981025851.

Multiplying 1820232 by its sum of digits (18), we get a square (32764176 = 57242).

1820232 divided by its sum of digits (18) gives a square (101124 = 3182).

The spelling of 1820232 in words is "one million, eight hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2809 2862 3816 4293 5618 5724 8427 8586 11236 11448 16854 17172 22472 25281 33708 34344 50562 67416 75843 101124 151686 202248 227529 303372 455058 606744 910116 1820232