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1828368 = 243212697
BaseRepresentation
bin110111110011000010000
310102220001100
412332120100
5432001433
6103104400
721353343
oct6763020
93386040
101828368
111039753
12742100
134c0299
1435845a
15261b13
hex1be610

1828368 has 30 divisors (see below), whose sum is σ = 5117294. Its totient is φ = 609408.

The previous prime is 1828361. The next prime is 1828373. The reversal of 1828368 is 8638281.

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 501264 = 1152^2 + 708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1828361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6205 + ... + 6492.

21828368 is an apocalyptic number.

1828368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1828368 is an abundant number, since it is smaller than the sum of its proper divisors (3288926).

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

1828368 is a wasteful number, since it uses less digits than its factorization.

1828368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12711 (or 12702 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1828368 is about 1352.1715867448. The cubic root of 1828368 is about 122.2797486161.

The spelling of 1828368 in words is "one million, eight hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12697 25394 38091 50788 76182 101576 114273 152364 203152 228546 304728 457092 609456 914184 1828368