Search a number
-
+
104336840 = 235612701
BaseRepresentation
bin1100011100000…
…00110111001000
321021022212020102
412032000313020
5203202234330
614204144532
72404564016
oct616006710
9237285212
10104336840
11539938a3
122ab38148
131880179a
14dbdd8b6
15925e945
hex6380dc8

104336840 has 48 divisors (see below), whose sum is σ = 239009940. Its totient is φ = 40992000.

The previous prime is 104336821. The next prime is 104336861. The reversal of 104336840 is 48633401.

It can be written as a sum of positive squares in 6 ways, for example, as 9897316 + 94439524 = 3146^2 + 9718^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148490 + ... + 149190.

Almost surely, 2104336840 is an apocalyptic number.

104336840 is a gapful number since it is divisible by the number (10) 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 104336840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119504970).

104336840 is an abundant number, since it is smaller than the sum of its proper divisors (134673100).

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

104336840 is an equidigital number, since it uses as much as digits as its factorization.

104336840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 104336840 is about 10214.5406162000. The cubic root of 104336840 is about 470.7740978202.

The spelling of 104336840 in words is "one hundred four million, three hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 701 1220 1402 2440 2804 3505 3721 5608 7010 7442 14020 14884 18605 28040 29768 37210 42761 74420 85522 148840 171044 213805 342088 427610 855220 1710440 2608421 5216842 10433684 13042105 20867368 26084210 52168420 104336840