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1828740 = 2235291051
BaseRepresentation
bin110111110011110000100
310102220120010
412332132010
5432004430
6103110220
721354414
oct6763604
93386503
101828740
111039a61
12742370
134c04c4
14358644
15261cb0
hex1be784

1828740 has 48 divisors (see below), whose sum is σ = 5302080. Its totient is φ = 470400.

The previous prime is 1828727. The next prime is 1828759. The reversal of 1828740 is 478281.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1828698 and 1828707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (110460).

21828740 is an apocalyptic number.

1828740 is a gapful number since it is divisible by the number (10) 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 1828740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651040).

1828740 is an abundant number, since it is smaller than the sum of its proper divisors (3473340).

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

1828740 is a wasteful number, since it uses less digits than its factorization.

1828740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1828740 is about 1352.3091362555. The cubic root of 1828740 is about 122.2880410718.

The spelling of 1828740 in words is "one million, eight hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1051 1740 2102 3153 4204 5255 6306 10510 12612 15765 21020 30479 31530 60958 63060 91437 121916 152395 182874 304790 365748 457185 609580 914370 1828740