Search a number
-
+
63106146 = 23229532281
BaseRepresentation
bin1111000010111…
…0110001100010
311101202010100200
43300232301202
5112123344041
610132330030
71364251635
oct360566142
9141663320
1063106146
1132692644
1219173916
13100c6a1c
148549c1c
1558181b6
hex3c2ec62

63106146 has 48 divisors (see below), whose sum is σ = 144176760. Its totient is φ = 19918080.

The previous prime is 63106133. The next prime is 63106151. The reversal of 63106146 is 64160136.

63106146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60233121 + 2873025 = 7761^2 + 1695^2 .

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 23 ways as a sum of consecutive naturals, for example, 26526 + ... + 28806.

Almost surely, 263106146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63106146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72088380).

63106146 is an abundant number, since it is smaller than the sum of its proper divisors (81070614).

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

63106146 is a wasteful number, since it uses less digits than its factorization.

63106146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63106146 is about 7943.9376885774. The cubic root of 63106146 is about 398.1290668331.

The spelling of 63106146 in words is "sixty-three million, one hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 1537 2281 3074 4562 4611 6843 9222 13686 13833 20529 27666 41058 66149 120893 132298 198447 241786 362679 396894 595341 725358 1088037 1190682 2176074 3505897 7011794 10517691 21035382 31553073 63106146