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21275120 = 245733643
BaseRepresentation
bin101000100101…
…0000111110000
31111000212222102
41101022013300
520421300440
62035555532
7345556406
oct121120760
944025872
1021275120
1111011349
12715bba8
13453b939
142b7b476
151d03b15
hex144a1f0

21275120 has 40 divisors (see below), whose sum is σ = 50156016. Its totient is φ = 8391168.

The previous prime is 21275099. The next prime is 21275123. The reversal of 21275120 is 2157212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21275092 and 21275101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21275123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4019 + ... + 7661.

Almost surely, 221275120 is an apocalyptic number.

21275120 is a gapful number since it is divisible by the number (20) 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 21275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25078008).

21275120 is an abundant number, since it is smaller than the sum of its proper divisors (28880896).

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

21275120 is a wasteful number, since it uses less digits than its factorization.

21275120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 21275120 is about 4612.4960704590. The cubic root of 21275120 is about 277.0920119894.

The spelling of 21275120 in words is "twenty-one million, two hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 3643 5840 7286 14572 18215 29144 36430 58288 72860 145720 265939 291440 531878 1063756 1329695 2127512 2659390 4255024 5318780 10637560 21275120