Search a number
-
+
23525880 = 2335724001
BaseRepresentation
bin101100110111…
…1100111111000
31122021020102220
41121233213320
522010312010
62200124040
7403652400
oct131574770
948236386
1023525880
1112309384
127a66620
134b49251
1431a5800
1520ea970
hex166f9f8

23525880 has 96 divisors (see below), whose sum is σ = 82121040. Its totient is φ = 5376000.

The previous prime is 23525863. The next prime is 23525881. The reversal of 23525880 is 8852532.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23525881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3880 + ... + 7880.

Almost surely, 223525880 is an apocalyptic number.

23525880 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 23525880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41060520).

23525880 is an abundant number, since it is smaller than the sum of its proper divisors (58595160).

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

23525880 is a wasteful number, since it uses less digits than its factorization.

23525880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 23525880 is about 4850.3484410916. The cubic root of 23525880 is about 286.5378244394.

The spelling of 23525880 in words is "twenty-three million, five hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 4001 5880 8002 12003 16004 20005 24006 28007 32008 40010 48012 56014 60015 80020 84021 96024 112028 120030 140035 160040 168042 196049 224056 240060 280070 336084 392098 420105 480120 560140 588147 672168 784196 840210 980245 1120280 1176294 1568392 1680420 1960490 2352588 2940735 3360840 3920980 4705176 5881470 7841960 11762940 23525880