Search a number
-
+
104853696 = 263737481
BaseRepresentation
bin1100011111111…
…11000011000000
321022022010020020
412033333003000
5203320304241
614223213440
72412145623
oct617770300
9238263206
10104853696
1154207152
122b147280
1318952b0c
14dcd5dba
159312b66
hex63ff0c0

104853696 has 56 divisors (see below), whose sum is σ = 281263344. Its totient is φ = 34467840.

The previous prime is 104853689. The next prime is 104853719. The reversal of 104853696 is 696358401.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10276 + ... + 17756.

Almost surely, 2104853696 is an apocalyptic number.

104853696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104853696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140631672).

104853696 is an abundant number, since it is smaller than the sum of its proper divisors (176409648).

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

104853696 is an equidigital number, since it uses as much as digits as its factorization.

104853696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 104853696 is about 10239.8093732257. The cubic root of 104853696 is about 471.5501795158.

The spelling of 104853696 in words is "one hundred four million, eight hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 7481 14016 14962 22443 29924 44886 59848 89772 119696 179544 239392 359088 478784 546113 718176 1092226 1436352 1638339 2184452 3276678 4368904 6553356 8737808 13106712 17475616 26213424 34951232 52426848 104853696