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21327168 = 263113983
BaseRepresentation
bin101000101011…
…0110101000000
31111010112101010
41101112311000
520424432133
62041040520
7346164222
oct121266500
944115333
1021327168
1111047465
127186140
134559535
142b92412
151d14263
hex1456d40

21327168 has 56 divisors (see below), whose sum is σ = 56985408. Its totient is φ = 7038976.

The previous prime is 21327157. The next prime is 21327181. The reversal of 21327168 is 86172312.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 21205 + ... + 22187.

Almost surely, 221327168 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 21327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492704).

21327168 is an abundant number, since it is smaller than the sum of its proper divisors (35658240).

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

21327168 is a wasteful number, since it uses less digits than its factorization.

21327168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 21327168 is about 4618.1346883780. The cubic root of 21327168 is about 277.3177896449.

The spelling of 21327168 in words is "twenty-one million, three hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 983 1356 1808 1966 2712 2949 3616 3932 5424 5898 7232 7864 10848 11796 15728 21696 23592 31456 47184 62912 94368 111079 188736 222158 333237 444316 666474 888632 1332948 1777264 2665896 3554528 5331792 7109056 10663584 21327168