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23128704 = 2732171181
BaseRepresentation
bin101100000111…
…0101010000000
31121112001121200
41120032222000
521410104304
62143421200
7400406424
oct130165200
947461550
1023128704
1112067a35
1278b4800
134a3a531
143100b84
15206ce39
hex160ea80

23128704 has 96 divisors (see below), whose sum is σ = 70529940. Its totient is φ = 7249920.

The previous prime is 23128673. The next prime is 23128717. The reversal of 23128704 is 40782132.

It can be written as a sum of positive squares in 2 ways, for example, as 19713600 + 3415104 = 4440^2 + 1848^2 .

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

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, 18994 + ... + 20174.

Almost surely, 223128704 is an apocalyptic number.

23128704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35264970).

23128704 is an abundant number, since it is smaller than the sum of its proper divisors (47401236).

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

23128704 is a wasteful number, since it uses less digits than its factorization.

23128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 23128704 is about 4809.2311235789. The cubic root of 23128704 is about 284.9161710978.

It can be divided in two parts, 23128 and 704, that added together give a palindrome (23832).

The spelling of 23128704 in words is "twenty-three million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1181 1224 1632 2176 2362 2448 3264 3543 4724 4896 6528 7086 9448 9792 10629 14172 18896 19584 20077 21258 28344 37792 40154 42516 56688 60231 75584 80308 85032 113376 120462 151168 160616 170064 180693 226752 240924 321232 340128 361386 453504 481848 642464 680256 722772 963696 1284928 1360512 1445544 1927392 2569856 2891088 3854784 5782176 7709568 11564352 23128704