Search a number
-
+
63818106 = 231143113199
BaseRepresentation
bin1111001101110…
…0100101111010
311110002021222120
43303130211322
5112314134411
610155502110
71403305422
oct363344572
9143067876
1063818106
1133029540
1219457936
13102b5ac1
148693482
155909106
hex3cdc97a

63818106 has 64 divisors (see below), whose sum is σ = 144460800. Its totient is φ = 18627840.

The previous prime is 63818087. The next prime is 63818113. The reversal of 63818106 is 60181836.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320595 + ... + 320793.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 263818106 is an apocalyptic number.

63818106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63818106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72230400).

63818106 is an abundant number, since it is smaller than the sum of its proper divisors (80642694).

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

63818106 is a wasteful number, since it uses less digits than its factorization.

63818106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 63818106 is about 7988.6235360042. The cubic root of 63818106 is about 399.6206945989.

The spelling of 63818106 in words is "sixty-three million, eight hundred eighteen thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 43 66 86 113 129 199 226 258 339 398 473 597 678 946 1194 1243 1419 2189 2486 2838 3729 4378 4859 6567 7458 8557 9718 13134 14577 17114 22487 25671 29154 44974 51342 53449 67461 94127 106898 134922 160347 188254 247357 282381 320694 494714 564762 742071 966941 1484142 1933882 2900823 5801646 10636351 21272702 31909053 63818106