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21009618 = 234797191
BaseRepresentation
bin101000000100…
…1010011010010
31110112101210000
41100021103102
520334301433
62030150430
7343402350
oct120112322
943471700
1021009618
111094a923
127052416
134477b36
142b0c7d0
151ca0113
hex14094d2

21009618 has 80 divisors (see below), whose sum is σ = 54641664. Its totient is φ = 5909760.

The previous prime is 21009617. The next prime is 21009623. The reversal of 21009618 is 81690012.

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

It is a junction number, because it is equal to n+sod(n) for n = 21009591 and 21009600.

It is not an unprimeable number, because it can be changed into a prime (21009613) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109903 + ... + 110093.

Almost surely, 221009618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21009618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320832).

21009618 is an abundant number, since it is smaller than the sum of its proper divisors (33632046).

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

21009618 is a wasteful number, since it uses less digits than its factorization.

21009618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 21009618 is about 4583.6249846601. The cubic root of 21009618 is about 275.9345307853.

The spelling of 21009618 in words is "twenty-one million, nine thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 97 126 162 189 191 194 291 378 382 567 573 582 679 873 1134 1146 1337 1358 1719 1746 2037 2619 2674 3438 4011 4074 5157 5238 6111 7857 8022 10314 12033 12222 15471 15714 18333 18527 24066 30942 36099 36666 37054 54999 55581 72198 108297 109998 111162 129689 166743 216594 259378 333486 389067 500229 778134 1000458 1167201 1500687 2334402 3001374 3501603 7003206 10504809 21009618