Search a number
-
+
104660820 = 223251152859
BaseRepresentation
bin1100011110011…
…11111101010100
321021221022122200
412033033331110
5203243121240
614215124500
72410413405
oct617177524
9237838580
10104660820
1154095250
122b073730
13188b60a4
14dc859ac
1592c5930
hex63cff54

104660820 has 72 divisors (see below), whose sum is σ = 346338720. Its totient is φ = 25371840.

The previous prime is 104660807. The next prime is 104660861. The reversal of 104660820 is 28066401.

104660820 is a `hidden beast` number, since 10 + 46 + 608 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24450 + ... + 28409.

It is an arithmetic number, because the mean of its divisors is an integer number (4810260).

Almost surely, 2104660820 is an apocalyptic number.

104660820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104660820 is an abundant number, since it is smaller than the sum of its proper divisors (241677900).

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

104660820 is a wasteful number, since it uses less digits than its factorization.

104660820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52885 (or 52880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104660820 is about 10230.3870894507. The cubic root of 104660820 is about 471.2608667552.

The spelling of 104660820 in words is "one hundred four million, six hundred sixty 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 52859 105718 158577 211436 264295 317154 475731 528590 581449 634308 792885 951462 1057180 1162898 1585770 1744347 1902924 2325796 2378655 2907245 3171540 3488694 4757310 5233041 5814490 6977388 8721735 9514620 10466082 11628980 17443470 20932164 26165205 34886940 52330410 104660820