[go: up one dir, main page]

Search a number
-
+
23324820 = 22351273061
BaseRepresentation
bin101100011111…
…0100010010100
31121220000122020
41120332202110
521432343240
62151533140
7402154251
oct130764224
947800566
1023324820
1112191312
12798a1b0
134aa888c
143152428
1520ab0d0
hex163e894

23324820 has 48 divisors (see below), whose sum is σ = 65845248. Its totient is φ = 6168960.

The previous prime is 23324813. The next prime is 23324827. The reversal of 23324820 is 2842332.

It is an interprime number because it is at equal distance from previous prime (23324813) and next prime (23324827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23324827) 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, 6090 + ... + 9150.

It is an arithmetic number, because the mean of its divisors is an integer number (1371776).

Almost surely, 223324820 is an apocalyptic number.

23324820 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 23324820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32922624).

23324820 is an abundant number, since it is smaller than the sum of its proper divisors (42520428).

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

23324820 is a wasteful number, since it uses less digits than its factorization.

23324820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23324820 is about 4829.5776212833. The cubic root of 23324820 is about 285.7192053915.

The spelling of 23324820 in words is "twenty-three million, three hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3061 3810 6122 7620 9183 12244 15305 18366 30610 36732 45915 61220 91830 183660 388747 777494 1166241 1554988 1943735 2332482 3887470 4664964 5831205 7774940 11662410 23324820