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23906688 = 273134789
BaseRepresentation
bin101101100110…
…0100110000000
31122222120210220
41123030212000
522110003223
62212223040
7410126541
oct133144600
948876726
1023906688
11125494a3
12800aa80
134c50690
1432644c8
1521736e3
hex16cc980

23906688 has 64 divisors (see below), whose sum is σ = 68401200. Its totient is φ = 7354368.

The previous prime is 23906681. The next prime is 23906711. The reversal of 23906688 is 88660932.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×239066882 = 1143059462258688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23906681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 7386.

Almost surely, 223906688 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 23906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34200600).

23906688 is an abundant number, since it is smaller than the sum of its proper divisors (44494512).

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

23906688 is a wasteful number, since it uses less digits than its factorization.

23906688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 23906688 is about 4889.4465944522. The cubic root of 23906688 is about 288.0755974386.

The spelling of 23906688 in words is "twenty-three million, nine hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4789 4992 9578 14367 19156 28734 38312 57468 62257 76624 114936 124514 153248 186771 229872 249028 306496 373542 459744 498056 612992 747084 919488 996112 1494168 1838976 1992224 2988336 3984448 5976672 7968896 11953344 23906688