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21512064 = 273753151
BaseRepresentation
bin101001000001…
…1111110000000
31111110221000010
41102003332000
521001341224
62045024520
7350564250
oct122037600
944427003
1021512064
1111163372
127255140
1345c2742
142bdd960
151d4de29
hex1483f80

21512064 has 128 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 5990400.

The previous prime is 21512063. The next prime is 21512093. The reversal of 21512064 is 46021512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21512064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21512063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142389 + ... + 142539.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 221512064 is an apocalyptic number.

21512064 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 21512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488640).

21512064 is an abundant number, since it is smaller than the sum of its proper divisors (45465216).

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

21512064 is a wasteful number, since it uses less digits than its factorization.

21512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 21512064 is about 4638.1099598867. The cubic root of 21512064 is about 278.1168875132.

Adding to 21512064 its reverse (46021512), we get a palindrome (67533576).

The spelling of 21512064 in words is "twenty-one million, five hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 151 159 168 192 212 224 302 318 336 371 384 424 448 453 604 636 672 742 848 896 906 1057 1113 1208 1272 1344 1484 1696 1812 2114 2226 2416 2544 2688 2968 3171 3392 3624 4228 4452 4832 5088 5936 6342 6784 7248 8003 8456 8904 9664 10176 11872 12684 14496 16006 16912 17808 19328 20352 23744 24009 25368 28992 32012 33824 35616 47488 48018 50736 56021 57984 64024 67648 71232 96036 101472 112042 128048 135296 142464 168063 192072 202944 224084 256096 336126 384144 405888 448168 512192 672252 768288 896336 1024384 1344504 1536576 1792672 2689008 3073152 3585344 5378016 7170688 10756032 21512064