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20232640 = 265232749
BaseRepresentation
bin100110100101…
…1100111000000
31102001220222001
41031023213000
520134421030
62001353344
7333655201
oct115134700
942056861
1020232640
111046a09a
126938854
13426529c
1429895a8
151b99cca
hex134b9c0

20232640 has 56 divisors (see below), whose sum is σ = 50292000. Its totient is φ = 7738368.

The previous prime is 20232629. The next prime is 20232647. The reversal of 20232640 is 4623202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5986 + ... + 8734.

Almost surely, 220232640 is an apocalyptic number.

20232640 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 20232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25146000).

20232640 is an abundant number, since it is smaller than the sum of its proper divisors (30059360).

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

20232640 is a wasteful number, since it uses less digits than its factorization.

20232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 20232640 is about 4498.0706975324. The cubic root of 20232640 is about 272.4901772404.

Adding to 20232640 its reverse (4623202), we get a palindrome (24855842).

The spelling of 20232640 in words is "twenty million, two hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 2749 3680 5498 7360 10996 13745 21992 27490 43984 54980 63227 87968 109960 126454 175936 219920 252908 316135 439840 505816 632270 879680 1011632 1264540 2023264 2529080 4046528 5058160 10116320 20232640