Search a number
-
+
104090628 = 223291132647
BaseRepresentation
bin1100011010001…
…00110000000100
321020212100111110
412031010300010
5203121400003
614155005020
72402520135
oct615046004
9236770443
10104090628
1153835914
122aa39770
13187466b5
14db77c8c
159211a03
hex6344c04

104090628 has 48 divisors (see below), whose sum is σ = 253572480. Its totient is φ = 33191424.

The previous prime is 104090611. The next prime is 104090629. The reversal of 104090628 is 826090401.

It is a junction number, because it is equal to n+sod(n) for n = 104090595 and 104090604.

It is not an unprimeable number, because it can be changed into a prime (104090629) 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, 38001 + ... + 40647.

It is an arithmetic number, because the mean of its divisors is an integer number (5282760).

Almost surely, 2104090628 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 104090628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126786240).

104090628 is an abundant number, since it is smaller than the sum of its proper divisors (149481852).

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

104090628 is a wasteful number, since it uses less digits than its factorization.

104090628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2794 counting only the distinct ones).

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

The square root of 104090628 is about 10202.4814628599. The cubic root of 104090628 is about 470.4034983716.

The spelling of 104090628 in words is "one hundred four million, ninety thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 113 116 174 226 339 348 452 678 1356 2647 3277 5294 6554 7941 9831 10588 13108 15882 19662 31764 39324 76763 153526 230289 299111 307052 460578 598222 897333 921156 1196444 1794666 3589332 8674219 17348438 26022657 34696876 52045314 104090628