Search a number
-
+
104314890 = 23517238893
BaseRepresentation
bin1100011011110…
…11100000001010
321021021202010110
412031323200022
5203201034030
614203455150
72404443021
oct615734012
9237252113
10104314890
1153979359
122ab274b6
13187c47b4
14dbd58b8
1592581b0
hex637b80a

104314890 has 64 divisors (see below), whose sum is σ = 276638976. Its totient is φ = 25039872.

The previous prime is 104314871. The next prime is 104314909. The reversal of 104314890 is 98413401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104314871) and next prime (104314909).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7284 + ... + 16176.

It is an arithmetic number, because the mean of its divisors is an integer number (4322484).

Almost surely, 2104314890 is an apocalyptic number.

104314890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104314890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138319488).

104314890 is an abundant number, since it is smaller than the sum of its proper divisors (172324086).

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

104314890 is a wasteful number, since it uses less digits than its factorization.

104314890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 104314890 is about 10213.4661109733. The cubic root of 104314890 is about 470.7410822648.

The spelling of 104314890 in words is "one hundred four million, three hundred fourteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1955 2346 3910 5865 8893 11730 17786 26679 44465 53358 88930 133395 151181 204539 266790 302362 409078 453543 613617 755905 907086 1022695 1227234 1511810 2045390 2267715 3068085 3477163 4535430 6136170 6954326 10431489 17385815 20862978 34771630 52157445 104314890