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21282072 = 2337218097
BaseRepresentation
bin101000100101…
…1110100011000
31111001020111220
41101023310120
520422011242
62040052040
7345615600
oct121136430
944036456
1021282072
1111016599
127164020
134541b56
142b7dc00
151d05bec
hex144bd18

21282072 has 48 divisors (see below), whose sum is σ = 61895160. Its totient is φ = 6080256.

The previous prime is 21282059. The next prime is 21282073. The reversal of 21282072 is 27028212.

It is a happy number.

It is a super-2 number, since 2×212820722 = 905853177226368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21282073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7873 + ... + 10224.

Almost surely, 221282072 is an apocalyptic number.

It is an amenable number.

21282072 is an abundant number, since it is smaller than the sum of its proper divisors (40613088).

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

21282072 is a wasteful number, since it uses less digits than its factorization.

21282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18120 (or 18109 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 21282072 is about 4613.2496138839. The cubic root of 21282072 is about 277.1221901801.

The spelling of 21282072 in words is "twenty-one million, two hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 18097 36194 54291 72388 108582 126679 144776 217164 253358 380037 434328 506716 760074 886753 1013432 1520148 1773506 2660259 3040296 3547012 5320518 7094024 10641036 21282072