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21124116 = 22321345137
BaseRepresentation
bin101000010010…
…1010000010100
31110202012211200
41100211100110
520401432431
62032432500
7344360226
oct120452024
943665750
1021124116
1110a18952
1270a8730
1344b7ca0
142b3c416
151cc3ee6
hex1425414

21124116 has 36 divisors (see below), whose sum is σ = 57505812. Its totient is φ = 6499584.

The previous prime is 21124099. The next prime is 21124123. The reversal of 21124116 is 61142112.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 18096516 = 1740^2 + 4254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22101 + ... + 23036.

Almost surely, 221124116 is an apocalyptic number.

21124116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21124116 is an abundant number, since it is smaller than the sum of its proper divisors (36381696).

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

21124116 is a wasteful number, since it uses less digits than its factorization.

21124116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45160 (or 45155 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 21124116 is about 4596.0979101842. The cubic root of 21124116 is about 276.4348846641.

Adding to 21124116 its reverse (61142112), we get a palindrome (82266228).

The spelling of 21124116 in words is "twenty-one million, one hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 45137 90274 135411 180548 270822 406233 541644 586781 812466 1173562 1624932 1760343 2347124 3520686 5281029 7041372 10562058 21124116