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21416064 = 273431297
BaseRepresentation
bin101000110110…
…0100010000000
31111022001022120
41101230202000
520440303224
62043004240
7350014335
oct121544200
944261276
1021416064
11110a822a
127209680
13458ab37
142bb698c
151d30779
hex146c880

21416064 has 64 divisors (see below), whose sum is σ = 58254240. Its totient is φ = 6967296.

The previous prime is 21416053. The next prime is 21416089. The reversal of 21416064 is 46061412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15864 + ... + 17160.

Almost surely, 221416064 is an apocalyptic number.

21416064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29127120).

21416064 is an abundant number, since it is smaller than the sum of its proper divisors (36838176).

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

21416064 is a wasteful number, since it uses less digits than its factorization.

21416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21416064 is about 4627.7493449840. The cubic root of 21416064 is about 277.7025613000.

Adding to 21416064 its reverse (46061412), we get a palindrome (67477476).

The spelling of 21416064 in words is "twenty-one million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1297 1376 2064 2594 2752 3891 4128 5188 5504 7782 8256 10376 15564 16512 20752 31128 41504 55771 62256 83008 111542 124512 166016 167313 223084 249024 334626 446168 498048 669252 892336 1338504 1784672 2677008 3569344 5354016 7138688 10708032 21416064