Search a number
-
+
104100248 = 23717432543
BaseRepresentation
bin1100011010001…
…11000110011000
321020212211200202
412031013012120
5203122201443
614155121332
72402560160
oct615070630
9236784622
10104100248
115384206a
122aa43248
131874aba5
14db7b5a0
1592147b8
hex6347198

104100248 has 64 divisors (see below), whose sum is σ = 241781760. Its totient is φ = 40997376.

The previous prime is 104100247. The next prime is 104100281. The reversal of 104100248 is 842001401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104100247) 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, 39665 + ... + 42207.

It is an arithmetic number, because the mean of its divisors is an integer number (3777840).

Almost surely, 2104100248 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 104100248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120890880).

104100248 is an abundant number, since it is smaller than the sum of its proper divisors (137681512).

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

104100248 is a wasteful number, since it uses less digits than its factorization.

104100248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 104100248 is about 10202.9529058994. The cubic root of 104100248 is about 470.4179894049.

Adding to 104100248 its reverse (842001401), we get a palindrome (946101649).

The spelling of 104100248 in words is "one hundred four million, one hundred thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 238 301 344 476 602 731 952 1204 1462 2408 2543 2924 5086 5117 5848 10172 10234 17801 20344 20468 35602 40936 43231 71204 86462 109349 142408 172924 218698 302617 345848 437396 605234 765443 874792 1210468 1530886 1858933 2420936 3061772 3717866 6123544 7435732 13012531 14871464 26025062 52050124 104100248