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23013320 = 23511193271
BaseRepresentation
bin101011111001…
…0011111001000
31121022012100012
41113302133020
521342411240
62141131052
7366416141
oct127623710
947265305
1023013320
1111a99280
127859a88
1349c9b65
1430b0ac8
152048b65
hex15f27c8

23013320 has 64 divisors (see below), whose sum is σ = 56989440. Its totient is φ = 8294400.

The previous prime is 23013307. The next prime is 23013329. The reversal of 23013320 is 2331032.

It is a super-2 number, since 2×230133202 = 1059225794844800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23013295 and 23013304.

It is not an unprimeable number, because it can be changed into a prime (23013329) 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, 84785 + ... + 85055.

It is an arithmetic number, because the mean of its divisors is an integer number (890460).

Almost surely, 223013320 is an apocalyptic number.

23013320 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 23013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28494720).

23013320 is an abundant number, since it is smaller than the sum of its proper divisors (33976120).

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

23013320 is a wasteful number, since it uses less digits than its factorization.

23013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 23013320 is about 4797.2200283081. The cubic root of 23013320 is about 284.4415863880.

Adding to 23013320 its reverse (2331032), we get a palindrome (25344352).

The spelling of 23013320 in words is "twenty-three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 193 220 271 386 440 542 772 965 1084 1355 1544 1930 2123 2168 2710 2981 3860 4246 5420 5962 7720 8492 10615 10840 11924 14905 16984 21230 23848 29810 42460 52303 59620 84920 104606 119240 209212 261515 418424 523030 575333 1046060 1150666 2092120 2301332 2876665 4602664 5753330 11506660 23013320