Search a number
-
+
23127808 = 281143191
BaseRepresentation
bin101100000111…
…0011100000000
31121112000101111
41120032130000
521410042213
62143413104
7400404004
oct130163400
947460344
1023127808
11120672a0
1278b4194
134a39cc2
143100704
15206ca3d
hex160e700

23127808 has 72 divisors (see below), whose sum is σ = 51803136. Its totient is φ = 10214400.

The previous prime is 23127799. The next prime is 23127809. The reversal of 23127808 is 80872132.

23127808 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 23127808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23127809) 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, 120993 + ... + 121183.

It is an arithmetic number, because the mean of its divisors is an integer number (719488).

Almost surely, 223127808 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 23127808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25901568).

23127808 is an abundant number, since it is smaller than the sum of its proper divisors (28675328).

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

23127808 is a wasteful number, since it uses less digits than its factorization.

23127808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 23127808 is about 4809.1379684929. The cubic root of 23127808 is about 284.9124918574.

The spelling of 23127808 in words is "twenty-three million, one hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 191 256 344 352 382 473 688 704 764 946 1376 1408 1528 1892 2101 2752 2816 3056 3784 4202 5504 6112 7568 8213 8404 11008 12224 15136 16426 16808 24448 30272 32852 33616 48896 60544 65704 67232 90343 121088 131408 134464 180686 262816 268928 361372 525632 537856 722744 1051264 1445488 2102528 2890976 5781952 11563904 23127808