Search a number
-
+
663102006 = 23732314009
BaseRepresentation
bin100111100001100…
…010001000110110
31201012202001221120
4213201202020312
52324223231011
6145444324410
722301163000
oct4741421066
91635661846
10663102006
11310338396
121660a3706
13a74c0768
14640d1370
153d334a06
hex27862236

663102006 has 64 divisors (see below), whose sum is σ = 1613952000. Its totient is φ = 181207488.

The previous prime is 663101993. The next prime is 663102019. The reversal of 663102006 is 600201366.

It is an interprime number because it is at equal distance from previous prime (663101993) and next prime (663102019).

It is a super-2 number, since 2×6631020062 = 879408540722448072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40330 + ... + 54338.

It is an arithmetic number, because the mean of its divisors is an integer number (25218000).

Almost surely, 2663102006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663102006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806976000).

663102006 is an abundant number, since it is smaller than the sum of its proper divisors (950849994).

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

663102006 is a wasteful number, since it uses less digits than its factorization.

663102006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 663102006 is about 25750.7670953702. The cubic root of 663102006 is about 872.0206723980.

The spelling of 663102006 in words is "six hundred sixty-three million, one hundred two thousand, six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 686 966 1029 1127 2058 2254 3381 6762 7889 14009 15778 23667 28018 42027 47334 84054 98063 196126 294189 322207 588378 644414 686441 966621 1372882 1933242 2059323 2255449 4118646 4510898 4805087 6766347 9610174 13532694 14415261 15788143 28830522 31576286 47364429 94728858 110517001 221034002 331551003 663102006