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21166368 = 2533759101
BaseRepresentation
bin101000010111…
…1100100100000
31110211100210120
41100233210200
520404310433
62033400240
7344624346
oct120574440
943740716
1021166368
1110a47673
127109080
1345012a2
142b4d996
151cd17b3
hex142f920

21166368 has 96 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 6681600.

The previous prime is 21166367. The next prime is 21166381. The reversal of 21166368 is 86366112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211663682 = 896030268622848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21166367) 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, 209518 + ... + 209618.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 221166368 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 21166368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

21166368 is an abundant number, since it is smaller than the sum of its proper divisors (37438752).

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

21166368 is a wasteful number, since it uses less digits than its factorization.

21166368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 21166368 is about 4600.6921218443. The cubic root of 21166368 is about 276.6190682780.

The spelling of 21166368 in words is "twenty-one million, one hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 59 74 96 101 111 118 148 177 202 222 236 296 303 354 404 444 472 592 606 708 808 888 944 1184 1212 1416 1616 1776 1888 2183 2424 2832 3232 3552 3737 4366 4848 5664 5959 6549 7474 8732 9696 11211 11918 13098 14948 17464 17877 22422 23836 26196 29896 34928 35754 44844 47672 52392 59792 69856 71508 89688 95344 104784 119584 143016 179376 190688 209568 220483 286032 358752 440966 572064 661449 881932 1322898 1763864 2645796 3527728 5291592 7055456 10583184 21166368