Search a number
-
+
23640870 = 23511711009
BaseRepresentation
bin101101000101…
…1101100100110
31122111002011210
41122023230212
522023001440
62202412250
7404641551
oct132135446
948432153
1023640870
1112387810
127b01086
134b896a6
1431d5698
15211ea80
hex168bb26

23640870 has 64 divisors (see below), whose sum is σ = 62830080. Its totient is φ = 5644800.

The previous prime is 23640847. The next prime is 23640871. The reversal of 23640870 is 7804632.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23640871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22926 + ... + 23934.

It is an arithmetic number, because the mean of its divisors is an integer number (981720).

Almost surely, 223640870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23640870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31415040).

23640870 is an abundant number, since it is smaller than the sum of its proper divisors (39189210).

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

23640870 is a wasteful number, since it uses less digits than its factorization.

23640870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23640870 is about 4862.1877791792. The cubic root of 23640870 is about 287.0039132312.

The spelling of 23640870 in words is "twenty-three million, six hundred forty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1009 1065 1562 2018 2130 2343 3027 3905 4686 5045 6054 7810 10090 11099 11715 15135 22198 23430 30270 33297 55495 66594 71639 110990 143278 166485 214917 332970 358195 429834 716390 788029 1074585 1576058 2149170 2364087 3940145 4728174 7880290 11820435 23640870