Search a number
-
+
104212644 = 223195961127
BaseRepresentation
bin1100011011000…
…10100010100100
321021002112212120
412031202202210
5203134301034
614201345540
72403535644
oct615424244
9237075776
10104212644
1153909558
122aa982b0
131878a0b3
14dbaa524
159237c49
hex63628a4

104212644 has 96 divisors (see below), whose sum is σ = 266649600. Its totient is φ = 31570560.

The previous prime is 104212597. The next prime is 104212651. The reversal of 104212644 is 446212401.

It is a happy number.

It is a super-3 number, since 3×1042126443 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820509 + ... + 820635.

It is an arithmetic number, because the mean of its divisors is an integer number (2777600).

Almost surely, 2104212644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104212644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

104212644 is an abundant number, since it is smaller than the sum of its proper divisors (162436956).

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

104212644 is a wasteful number, since it uses less digits than its factorization.

104212644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104212644 is about 10208.4594332348. The cubic root of 104212644 is about 470.5872303814.

The spelling of 104212644 in words is "one hundred four million, two hundred twelve thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 59 61 76 114 118 122 127 177 183 228 236 244 254 354 366 381 508 708 732 762 1121 1159 1524 2242 2318 2413 3363 3477 3599 4484 4636 4826 6726 6954 7198 7239 7493 7747 9652 10797 13452 13908 14396 14478 14986 15494 21594 22479 23241 28956 29972 30988 43188 44958 46482 68381 89916 92964 136762 142367 147193 205143 273524 284734 294386 410286 427101 441579 457073 569468 588772 820572 854202 883158 914146 1371219 1708404 1766316 1828292 2742438 5484876 8684387 17368774 26053161 34737548 52106322 104212644