Search a number
-
+
23650020 = 22325831583
BaseRepresentation
bin101101000110…
…1111011100100
31122111112201200
41122031323210
522023300040
62202522500
7405010332
oct132157344
948445650
1023650020
1112393679
127b06430
134b908c4
1431d8b52
152122630
hex168dee4

23650020 has 72 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 6226752.

The previous prime is 23650013. The next prime is 23650021. The reversal of 23650020 is 2005632.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23649975 and 23650002.

It is not an unprimeable number, because it can be changed into a prime (23650021) 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, 14149 + ... + 15731.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 223650020 is an apocalyptic number.

23650020 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 23650020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

23650020 is an abundant number, since it is smaller than the sum of its proper divisors (48998556).

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

23650020 is a wasteful number, since it uses less digits than its factorization.

23650020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23650020 is about 4863.1286226050. The cubic root of 23650020 is about 287.0409359391.

Adding to 23650020 its reverse (2005632), we get a palindrome (25655652).

The spelling of 23650020 in words is "twenty-three million, six hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1583 1660 2490 2988 3166 3735 4749 4980 6332 7470 7915 9498 14247 14940 15830 18996 23745 28494 31660 47490 56988 71235 94980 131389 142470 262778 284940 394167 525556 656945 788334 1182501 1313890 1576668 1970835 2365002 2627780 3941670 4730004 5912505 7883340 11825010 23650020