Search a number
-
+
1821400590 = 235232639711
BaseRepresentation
bin110110010010000…
…0101111000001110
311200221021201220010
41230210011320032
512212234304330
6500422534050
763064435542
oct15444057016
94627251803
101821400590
11855151249
12429b97326
13230473b39
14133c87a22
15a9d843b0
hex6c905e0e

1821400590 has 32 divisors (see below), whose sum is σ = 4561422336. Its totient is φ = 464588960.

The previous prime is 1821400549. The next prime is 1821400601. The reversal of 1821400590 is 950041281.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

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, 1319166 + ... + 1320545.

It is an arithmetic number, because the mean of its divisors is an integer number (142544448).

Almost surely, 21821400590 is an apocalyptic number.

1821400590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1821400590 is an abundant number, since it is smaller than the sum of its proper divisors (2740021746).

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

1821400590 is a wasteful number, since it uses less digits than its factorization.

1821400590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639744.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1821400590 is about 42677.8700265137. The cubic root of 1821400590 is about 1221.2422601302.

The spelling of 1821400590 in words is "one billion, eight hundred twenty-one million, four hundred thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 2639711 5279422 7919133 13198555 15838266 26397110 39595665 60713353 79191330 121426706 182140059 303566765 364280118 607133530 910700295 1821400590