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23084928 = 273229691
BaseRepresentation
bin101100000001…
…1111110000000
31121102211120100
41120003332000
521402204203
62142442400
7400134666
oct130037600
947384510
1023084928
1112038059
127893400
134a23629
1430ccc36
15205eea3
hex1603f80

23084928 has 96 divisors (see below), whose sum is σ = 68819400. Its totient is φ = 7418880.

The previous prime is 23084879. The next prime is 23084953. The reversal of 23084928 is 82948032.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 23084892 and 23084901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33063 + ... + 33753.

Almost surely, 223084928 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 23084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34409700).

23084928 is an abundant number, since it is smaller than the sum of its proper divisors (45734472).

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

23084928 is a wasteful number, since it uses less digits than its factorization.

23084928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23084928 is about 4804.6777207218. The cubic root of 23084928 is about 284.7363027181.

It can be divided in two parts, 230 and 84928, that added together give a palindrome (85158).

The spelling of 23084928 in words is "twenty-three million, eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 691 696 928 1044 1152 1382 1392 1856 2073 2088 2764 2784 3712 4146 4176 5528 5568 6219 8292 8352 11056 11136 12438 16584 16704 20039 22112 24876 33168 33408 40078 44224 49752 60117 66336 80156 88448 99504 120234 132672 160312 180351 199008 240468 265344 320624 360702 398016 480936 641248 721404 796032 961872 1282496 1442808 1923744 2564992 2885616 3847488 5771232 7694976 11542464 23084928