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23666742 = 2351119233
BaseRepresentation
bin101101001001…
…0000000110110
31122112101200000
41122102000312
522024313432
62203132130
7405110151
oct132220066
948471600
1023666742
11123a51a0
127b14046
134b983b8
143200c98
15212757c
hex1692036

23666742 has 96 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 6765120.

The previous prime is 23666711. The next prime is 23666749. The reversal of 23666742 is 24766632.

It is a happy number.

It is a super-2 number, since 2×236667422 = 1120229353789128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23666697 and 23666706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23666749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101458 + ... + 101690.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 223666742 is an apocalyptic number.

23666742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23666742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

23666742 is an abundant number, since it is smaller than the sum of its proper divisors (37659978).

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

23666742 is a wasteful number, since it uses less digits than its factorization.

23666742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 23666742 is about 4864.8475824017. The cubic root of 23666742 is about 287.1085717903.

The spelling of 23666742 in words is "twenty-three million, six hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 233 243 297 342 418 466 486 513 594 627 699 891 1026 1254 1398 1539 1782 1881 2097 2563 2673 3078 3762 4194 4427 4617 5126 5346 5643 6291 7689 8854 9234 11286 12582 13281 15378 16929 18873 23067 26562 33858 37746 39843 46134 48697 50787 56619 69201 79686 97394 101574 113238 119529 138402 146091 207603 239058 292182 358587 415206 438273 622809 717174 876546 1075761 1245618 1314819 2151522 2629638 3944457 7888914 11833371 23666742