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104863638 = 231131107479
BaseRepresentation
bin1100100000000…
…01011110010110
321022022121212110
412100001132112
5203321114023
614223331450
72412216615
oct620013626
9238277773
10104863638
1154213670
122b150b86
13189574b9
14dcd987c
159315a93
hex6401796

104863638 has 64 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 30400800.

The previous prime is 104863637. The next prime is 104863639. The reversal of 104863638 is 836368401.

It is an interprime number because it is at equal distance from previous prime (104863637) and next prime (104863639).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104863596 and 104863605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104863631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 218683 + ... + 219161.

It is an arithmetic number, because the mean of its divisors is an integer number (3732480).

Almost surely, 2104863638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104863638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

104863638 is an abundant number, since it is smaller than the sum of its proper divisors (134015082).

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

104863638 is a wasteful number, since it uses less digits than its factorization.

104863638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 104863638 is about 10240.2948199747. The cubic root of 104863638 is about 471.5650828331.

It can be divided in two parts, 104863 and 638, that added together give a palindrome (105501).

The spelling of 104863638 in words is "one hundred four million, eight hundred sixty-three thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 107 186 214 321 341 479 642 682 958 1023 1177 1437 2046 2354 2874 3317 3531 5269 6634 7062 9951 10538 14849 15807 19902 29698 31614 36487 44547 51253 72974 89094 102506 109461 153759 163339 218922 307518 326678 490017 563783 980034 1127566 1588843 1691349 3177686 3382698 4766529 9533058 17477273 34954546 52431819 104863638