Search a number
-
+
21366198 = 23271511123
BaseRepresentation
bin101000110000…
…0010110110110
31111012111220200
41101200112312
520432204243
62041541330
7346416060
oct121402666
944174820
1021366198
1111073817
1271a4846
134571229
142ba2730
151d20ad3
hex14605b6

21366198 has 48 divisors (see below), whose sum is σ = 53304576. Its totient is φ = 6058800.

The previous prime is 21366197. The next prime is 21366221. The reversal of 21366198 is 89166312.

21366198 is a `hidden beast` number, since 2 + 1 + 36 + 619 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21366197) 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 23 ways as a sum of consecutive naturals, for example, 18465 + ... + 19587.

It is an arithmetic number, because the mean of its divisors is an integer number (1110512).

Almost surely, 221366198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21366198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26652288).

21366198 is an abundant number, since it is smaller than the sum of its proper divisors (31938378).

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

21366198 is a wasteful number, since it uses less digits than its factorization.

21366198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 21366198 is about 4622.3584889102. The cubic root of 21366198 is about 277.4868559637.

The spelling of 21366198 in words is "twenty-one million, three hundred sixty-six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 453 906 1057 1123 1359 2114 2246 2718 3171 3369 6342 6738 7861 9513 10107 15722 19026 20214 23583 47166 70749 141498 169573 339146 508719 1017438 1187011 1526157 2374022 3052314 3561033 7122066 10683099 21366198