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21264030 = 23251911237
BaseRepresentation
bin101000100011…
…1011010011110
31111000022202200
41101013122132
520420422110
62035432330
7345512154
oct121073236
944008680
1021264030
1111003a87
1271556a6
134536888
142b773d4
151d006c0
hex144769e

21264030 has 48 divisors (see below), whose sum is σ = 55620864. Its totient is φ = 5636160.

The previous prime is 21264017. The next prime is 21264031. The reversal of 21264030 is 3046212.

It is a happy number.

21264030 is a `hidden beast` number, since 21 + 2 + 640 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21263994 and 21264012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21264031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16572 + ... + 17808.

It is an arithmetic number, because the mean of its divisors is an integer number (1158768).

Almost surely, 221264030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21264030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27810432).

21264030 is an abundant number, since it is smaller than the sum of its proper divisors (34356834).

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

21264030 is a wasteful number, since it uses less digits than its factorization.

21264030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21264030 is about 4611.2937447098. The cubic root of 21264030 is about 277.0438573921.

The spelling of 21264030 in words is "twenty-one million, two hundred sixty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 955 1146 1237 1719 1910 2474 2865 3438 3711 5730 6185 7422 8595 11133 12370 17190 18555 22266 37110 55665 111330 236267 472534 708801 1181335 1417602 2126403 2362670 3544005 4252806 7088010 10632015 21264030