Search a number
-
+
1691828820 = 2232511854459
BaseRepresentation
bin110010011010111…
…0100001001010100
311100220110210211200
41210311310021110
511431102010240
6435513432500
756632210353
oct14465641124
94326423750
101691828820
11798aa2040
123b270b730
1320c678256
1412099999a
159d7dc930
hex64d74254

1691828820 has 72 divisors (see below), whose sum is σ = 5598421920. Its totient is φ = 410139840.

The previous prime is 1691828791. The next prime is 1691828903. The reversal of 1691828820 is 288281961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425250 + ... + 429209.

It is an arithmetic number, because the mean of its divisors is an integer number (77755860).

Almost surely, 21691828820 is an apocalyptic number.

1691828820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1691828820 is an abundant number, since it is smaller than the sum of its proper divisors (3906593100).

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

1691828820 is a wasteful number, since it uses less digits than its factorization.

1691828820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854485 (or 854480 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1691828820 is about 41131.8467856720. The cubic root of 1691828820 is about 1191.5679306157.

The spelling of 1691828820 in words is "one billion, six hundred ninety-one million, eight hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 854459 1708918 2563377 3417836 4272295 5126754 7690131 8544590 9399049 10253508 12816885 15380262 17089180 18798098 25633770 28197147 30760524 37596196 38450655 46995245 51267540 56394294 76901310 84591441 93990490 112788588 140985735 153802620 169182882 187980980 281971470 338365764 422957205 563942940 845914410 1691828820