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21418164 = 22321779443
BaseRepresentation
bin101000110110…
…1000010110100
31111022011012100
41101231002310
520440340124
62043022100
7350023425
oct121550264
944264170
1021418164
11110a9869
12720a930
13458ba91
142bb764c
151d311c9
hex146d0b4

21418164 has 72 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 6619392.

The previous prime is 21418157. The next prime is 21418183. The reversal of 21418164 is 46181412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48127 + ... + 48569.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 221418164 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 21418164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

21418164 is an abundant number, since it is smaller than the sum of its proper divisors (36763596).

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

21418164 is a wasteful number, since it uses less digits than its factorization.

21418164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 21418164 is about 4627.9762315725. The cubic root of 21418164 is about 277.7116379183.

Adding to 21418164 its reverse (46181412), we get a palindrome (67599576).

The spelling of 21418164 in words is "twenty-one million, four hundred eighteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 306 316 443 474 612 711 886 948 1329 1343 1422 1772 2658 2686 2844 3987 4029 5316 5372 7531 7974 8058 12087 15062 15948 16116 22593 24174 30124 34997 45186 48348 67779 69994 90372 104991 135558 139988 209982 271116 314973 419964 594949 629946 1189898 1259892 1784847 2379796 3569694 5354541 7139388 10709082 21418164