Search a number
-
+
23235720 = 2335227853
BaseRepresentation
bin101100010100…
…0110010001000
31121201111102020
41120220302020
521422020340
62150004440
7401333424
oct130506210
947644366
1023235720
1112130382
127946720
134a77161
14312bb84
15208e9d0
hex1628c88

23235720 has 64 divisors (see below), whose sum is σ = 70096320. Its totient is φ = 6161664.

The previous prime is 23235713. The next prime is 23235721. The reversal of 23235720 is 2753232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23235721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26814 + ... + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (1095255).

Almost surely, 223235720 is an apocalyptic number.

23235720 is a gapful number since it is divisible by the number (20) 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 23235720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35048160).

23235720 is an abundant number, since it is smaller than the sum of its proper divisors (46860600).

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

23235720 is a wasteful number, since it uses less digits than its factorization.

23235720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 23235720 is about 4820.3443860372. The cubic root of 23235720 is about 285.3549286845.

Adding to 23235720 its reverse (2753232), we get a palindrome (25988952).

The spelling of 23235720 in words is "twenty-three million, two hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 853 908 1135 1362 1706 1816 2270 2559 2724 3405 3412 4265 4540 5118 5448 6810 6824 8530 9080 10236 12795 13620 17060 20472 25590 27240 34120 51180 102360 193631 387262 580893 774524 968155 1161786 1549048 1936310 2323572 2904465 3872620 4647144 5808930 7745240 11617860 23235720