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1840203828 = 2232177094241
BaseRepresentation
bin110110110101111…
…0100100000110100
311202020200001002100
41231223310200310
512232043010303
6502333542100
763413321511
oct15553644064
94666601070
101840203828
11864824411
12434344930
13234328608
14136580308
15ab84a8a3
hex6daf4834

1840203828 has 72 divisors (see below), whose sum is σ = 4933361160. Its totient is φ = 576368640.

The previous prime is 1840203817. The next prime is 1840203829. The reversal of 1840203828 is 8283020481.

It is a happy number.

1840203828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 702356004 + 1137847824 = 26502^2 + 33732^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1840203792 and 1840203801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1840203829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431788 + ... + 436028.

It is an arithmetic number, because the mean of its divisors is an integer number (68518905).

Almost surely, 21840203828 is an apocalyptic number.

1840203828 is a gapful number since it is divisible by the number (18) 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 1840203828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466680580).

1840203828 is an abundant number, since it is smaller than the sum of its proper divisors (3093157332).

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

1840203828 is a wasteful number, since it uses less digits than its factorization.

1840203828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1840203828 is about 42897.5969956360. The cubic root of 1840203828 is about 1225.4303811651.

The spelling of 1840203828 in words is "one billion, eight hundred forty million, two hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 709 1418 2127 2836 4241 4254 6381 8482 8508 12053 12723 12762 16964 24106 25446 25524 36159 38169 48212 50892 72097 72318 76338 108477 144194 144636 152676 216291 216954 288388 432582 433908 648873 865164 1297746 2595492 3006869 6013738 9020607 12027476 18041214 27061821 36082428 51116773 54123642 102233546 108247284 153350319 204467092 306700638 460050957 613401276 920101914 1840203828