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23948064 = 2532721697
BaseRepresentation
bin101101101011…
…0101100100000
31200001200120100
41123112230200
522112314224
62213142400
7410361300
oct133265440
950050510
1023948064
1112577598
12802aa00
134c6646a
143275600
152180ac9
hex16d6b20

23948064 has 108 divisors (see below), whose sum is σ = 79267734. Its totient is φ = 6838272.

The previous prime is 23948021. The next prime is 23948069. The reversal of 23948064 is 46084932.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 9659664 = 3780^2 + 3108^2 .

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 (23948069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13264 + ... + 14960.

Almost surely, 223948064 is an apocalyptic number.

23948064 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 23948064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39633867).

23948064 is an abundant number, since it is smaller than the sum of its proper divisors (55319670).

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

23948064 is a wasteful number, since it uses less digits than its factorization.

23948064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1709 counting only the distinct ones).

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

The square root of 23948064 is about 4893.6759189795. The cubic root of 23948064 is about 288.2416952560.

The spelling of 23948064 in words is "twenty-three million, nine hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1697 1764 2016 2352 3394 3528 4704 5091 6788 7056 10182 11879 13576 14112 15273 20364 23758 27152 30546 35637 40728 47516 54304 61092 71274 81456 83153 95032 106911 122184 142548 162912 166306 190064 213822 244368 249459 285096 332612 380128 427644 488736 498918 570192 665224 748377 855288 997836 1140384 1330448 1496754 1710576 1995672 2660896 2993508 3421152 3991344 5987016 7982688 11974032 23948064