Search a number
-
+
18650664 = 2332377001
BaseRepresentation
bin100011100100…
…1011000101000
31022002112220100
41013021120220
514233310124
61503425400
7314346054
oct107113050
938075810
1018650664
11a58957a
1262b5260
133b301c6
142696c64
1519861c9
hex11c9628

18650664 has 48 divisors (see below), whose sum is σ = 51884820. Its totient is φ = 6048000.

The previous prime is 18650633. The next prime is 18650669. The reversal of 18650664 is 46605681.

It can be written as a sum of positive squares in 2 ways, for example, as 17994564 + 656100 = 4242^2 + 810^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18650669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837 + ... + 6164.

Almost surely, 218650664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18650664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25942410).

18650664 is an abundant number, since it is smaller than the sum of its proper divisors (33234156).

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

18650664 is a wasteful number, since it uses less digits than its factorization.

18650664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 18650664 is about 4318.6414530498. The cubic root of 18650664 is about 265.1946546564.

The spelling of 18650664 in words is "eighteen million, six hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 7001 14002 21003 28004 42006 56008 63009 84012 126018 168024 252036 259037 504072 518074 777111 1036148 1554222 2072296 2331333 3108444 4662666 6216888 9325332 18650664