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21116268 = 2233434547
BaseRepresentation
bin101000010001…
…1010101101100
31110201211002000
41100203111230
520401210033
62032332300
7344325315
oct120432554
943654060
1021116268
1110a12a68
1270a4090
1344b4544
142b3960c
151cc1a13
hex142356c

21116268 has 48 divisors (see below), whose sum is σ = 56031360. Its totient is φ = 6873552.

The previous prime is 21116267. The next prime is 21116273. The reversal of 21116268 is 86261112.

21116268 is a `hidden beast` number, since 21 + 11 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21116267) 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 15 ways as a sum of consecutive naturals, for example, 2371 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (1167320).

Almost surely, 221116268 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 21116268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015680).

21116268 is an abundant number, since it is smaller than the sum of its proper divisors (34915092).

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

21116268 is a wasteful number, since it uses less digits than its factorization.

21116268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4595 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 21116268 is about 4595.2440631592. The cubic root of 21116268 is about 276.4006468654.

The spelling of 21116268 in words is "twenty-one million, one hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4547 4644 9094 13641 18188 27282 40923 54564 81846 122769 163692 195521 245538 391042 491076 586563 782084 1173126 1759689 2346252 3519378 5279067 7038756 10558134 21116268