Search a number
-
+
63114066 = 2343171229
BaseRepresentation
bin1111000011000…
…0101101010010
311101202112020000
43300300231102
5112124122231
610132430430
71364314011
oct360605522
9141675200
1063114066
1132698594
1219178416
13100ca502
14854ca78
15581a6e6
hex3c30b52

63114066 has 40 divisors (see below), whose sum is σ = 141983820. Its totient is φ = 20954592.

The previous prime is 63114061. The next prime is 63114133. The reversal of 63114066 is 66041136.

It can be written as a sum of positive squares in 2 ways, for example, as 62869041 + 245025 = 7929^2 + 495^2 .

It is a super-3 number, since 3×631140663 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (63114061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50740 + ... + 51968.

Almost surely, 263114066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63114066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70991910).

63114066 is an abundant number, since it is smaller than the sum of its proper divisors (78869754).

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

63114066 is a wasteful number, since it uses less digits than its factorization.

63114066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1551 counting only the distinct ones).

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

The square root of 63114066 is about 7944.4361662739. The cubic root of 63114066 is about 398.1457215781.

The spelling of 63114066 in words is "sixty-three million, one hundred fourteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 317 634 951 1229 1902 2458 2853 3687 5706 7374 8559 11061 17118 22122 25677 33183 51354 66366 99549 199098 389593 779186 1168779 2337558 3506337 7012674 10519011 21038022 31557033 63114066