Search a number
-
+
104890408 = 23717239461
BaseRepresentation
bin1100100000010…
…00000000101000
321022100222120221
412100020000220
5203322443113
614224055424
72412360640
oct620100050
9238328527
10104890408
1154231797
122b164574
131896673c
14dd05520
15931d98d
hex6408028

104890408 has 64 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 42040320.

The previous prime is 104890403. The next prime is 104890427. The reversal of 104890408 is 804098401.

It is a super-2 number, since 2×1048904082 = 22003995380812928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (104890403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227298 + ... + 227758.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2104890408 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 104890408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

104890408 is an abundant number, since it is smaller than the sum of its proper divisors (134610392).

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

104890408 is a wasteful number, since it uses less digits than its factorization.

104890408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 104890408 is about 10241.6018278392. The cubic root of 104890408 is about 471.6052070791.

The spelling of 104890408 in words is "one hundred four million, eight hundred ninety thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 239 461 476 478 922 952 956 1673 1844 1912 3227 3346 3688 4063 6454 6692 7837 8126 12908 13384 15674 16252 25816 28441 31348 32504 54859 56882 62696 109718 110179 113764 219436 220358 227528 438872 440716 771253 881432 1542506 1873043 3085012 3746086 6170024 7492172 13111301 14984344 26222602 52445204 104890408