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104140368 = 243217192239
BaseRepresentation
bin1100011010100…
…00111001010000
321020221212201200
412031100321100
5203124442433
614200031200
72403115143
oct615207120
9236855650
10104140368
115386a222
122aa62500
1318763227
14db8c05a
159221613
hex6350e50

104140368 has 120 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 30938112.

The previous prime is 104140327. The next prime is 104140403. The reversal of 104140368 is 863041401.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 45393 + ... + 47631.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2104140368 is an apocalyptic number.

104140368 is a gapful number since it is divisible by the number (18) 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 104140368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

104140368 is an abundant number, since it is smaller than the sum of its proper divisors (220838832).

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

104140368 is a wasteful number, since it uses less digits than its factorization.

104140368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104140368 is about 10204.9188139838. The cubic root of 104140368 is about 470.4784143192.

Adding to 104140368 its reverse (863041401), we get a palindrome (967181769).

The spelling of 104140368 in words is "one hundred four million, one hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2239 2448 2584 2736 2907 3876 4478 5168 5814 6717 7752 8956 11628 13434 15504 17912 20151 23256 26868 35824 38063 40302 42541 46512 53736 76126 80604 85082 107472 114189 127623 152252 161208 170164 228378 255246 304504 322416 340328 342567 382869 456756 510492 609008 680656 685134 723197 765738 913512 1020984 1370268 1446394 1531476 1827024 2041968 2169591 2740536 2892788 3062952 4339182 5481072 5785576 6125904 6508773 8678364 11571152 13017546 17356728 26035092 34713456 52070184 104140368