Search a number
-
+
104841828 = 223271332003
BaseRepresentation
bin1100011111111…
…00001001100100
321022021111221200
412033330021210
5203314414303
614223042500
72412066210
oct617741144
9238244850
10104841828
11541a9243
122b140430
131894a5b0
14dcd1940
15930e3a3
hex63fc264

104841828 has 72 divisors (see below), whose sum is σ = 326184768. Its totient is φ = 27649728.

The previous prime is 104841823. The next prime is 104841883. The reversal of 104841828 is 828148401.

It is a happy number.

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 = 104841792 and 104841801.

It is not an unprimeable number, because it can be changed into a prime (104841823) 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, 12726 + ... + 19277.

It is an arithmetic number, because the mean of its divisors is an integer number (4530344).

Almost surely, 2104841828 is an apocalyptic number.

104841828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104841828 is an abundant number, since it is smaller than the sum of its proper divisors (221342940).

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

104841828 is a wasteful number, since it uses less digits than its factorization.

104841828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32033 (or 32028 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 104841828 is about 10239.2298538513. The cubic root of 104841828 is about 471.5323878407.

The spelling of 104841828 in words is "one hundred four million, eight hundred forty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 32003 64006 96009 128012 192018 224021 288027 384036 416039 448042 576054 672063 832078 896084 1152108 1248117 1344126 1664156 2016189 2496234 2688252 2912273 3744351 4032378 4992468 5824546 7488702 8064756 8736819 11649092 14977404 17473638 26210457 34947276 52420914 104841828