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104320242 = 232133712049
BaseRepresentation
bin1100011011111…
…00110011110010
321021022000110200
412031330303302
5203201221432
614203540030
72404464435
oct615746362
9237260420
10104320242
1153982384
122ab2a616
13187c7070
14dbd781c
159259a7c
hex637ccf2

104320242 has 48 divisors (see below), whose sum is σ = 250013400. Its totient is φ = 31228416.

The previous prime is 104320231. The next prime is 104320243. The reversal of 104320242 is 242023401.

104320242 is a `hidden beast` number, since 104 + 320 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97239321 + 7080921 = 9861^2 + 2661^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104320243) 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, 2634 + ... + 14682.

Almost surely, 2104320242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104320242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125006700).

104320242 is an abundant number, since it is smaller than the sum of its proper divisors (145693158).

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

104320242 is a wasteful number, since it uses less digits than its factorization.

104320242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104320242 is about 10213.7281146504. The cubic root of 104320242 is about 470.7491327716.

Adding to 104320242 its reverse (242023401), we get a palindrome (346343643).

The spelling of 104320242 in words is "one hundred four million, three hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 12049 24098 36147 72294 108441 156637 216882 313274 445813 469911 891626 939822 1337439 1409733 2674878 2819466 4012317 5795569 8024634 11591138 17386707 34773414 52160121 104320242