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23823540 = 223251310181
BaseRepresentation
bin101101011100…
…0010010110100
31122211100202100
41122320102310
522044323130
62210342100
7406332246
oct132702264
948740670
1023823540
11124a1a84
127b8a930
134c21890
143242096
152158c60
hex16b84b4

23823540 has 72 divisors (see below), whose sum is σ = 77831208. Its totient is φ = 5863680.

The previous prime is 23823539. The next prime is 23823559. The reversal of 23823540 is 4532832.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 23097636 = 852^2 + 4806^2 .

It is a super-2 number, since 2×238235402 = 1135122116263200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2751 + ... + 7430.

It is an arithmetic number, because the mean of its divisors is an integer number (1080989).

Almost surely, 223823540 is an apocalyptic number.

23823540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23823540 is an abundant number, since it is smaller than the sum of its proper divisors (54007668).

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

23823540 is a wasteful number, since it uses less digits than its factorization.

23823540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23823540 is about 4880.9363855719. The cubic root of 23823540 is about 287.7412316864.

The spelling of 23823540 in words is "twenty-three million, eight hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 10181 20362 30543 40724 50905 61086 91629 101810 122172 132353 152715 183258 203620 264706 305430 366516 397059 458145 529412 610860 661765 794118 916290 1191177 1323530 1588236 1832580 1985295 2382354 2647060 3970590 4764708 5955885 7941180 11911770 23823540