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23084964 = 22327101907
BaseRepresentation
bin101100000001…
…1111110100100
31121102211121200
41120003332210
521402204324
62142442500
7400135050
oct130037644
947384550
1023084964
1112038091
127893430
134a23656
1430ccc60
15205eec9
hex1603fa4

23084964 has 72 divisors (see below), whose sum is σ = 67424448. Its totient is φ = 6523200.

The previous prime is 23084953. The next prime is 23084969. The reversal of 23084964 is 46948032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23084969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24999 + ... + 25905.

Almost surely, 223084964 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 23084964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33712224).

23084964 is an abundant number, since it is smaller than the sum of its proper divisors (44339484).

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

23084964 is a wasteful number, since it uses less digits than its factorization.

23084964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23084964 is about 4804.6814670694. The cubic root of 23084964 is about 284.7364507296.

The spelling of 23084964 in words is "twenty-three million, eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 907 909 1212 1414 1814 1818 2121 2721 2828 3628 3636 4242 5442 6349 6363 8163 8484 10884 12698 12726 16326 19047 25396 25452 32652 38094 57141 76188 91607 114282 183214 228564 274821 366428 549642 641249 824463 1099284 1282498 1648926 1923747 2564996 3297852 3847494 5771241 7694988 11542482 23084964