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20232744 = 2337831451
BaseRepresentation
bin100110100101…
…1101000101000
31102001221002220
41031023220220
520134421434
62001354040
7333655410
oct115135050
942057086
1020232744
111046a184
126938920
13426534c
142989640
151b99d49
hex134ba28

20232744 has 64 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 5707200.

The previous prime is 20232743. The next prime is 20232781. The reversal of 20232744 is 44723202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20232743) 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 15 ways as a sum of consecutive naturals, for example, 13219 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 220232744 is an apocalyptic number.

20232744 is a gapful number since it is divisible by the number (24) 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 20232744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

20232744 is an abundant number, since it is smaller than the sum of its proper divisors (38311896).

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

20232744 is a wasteful number, since it uses less digits than its factorization.

20232744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 20232744 is about 4498.0822580295. The cubic root of 20232744 is about 272.4906441251.

Adding to 20232744 its reverse (44723202), we get a palindrome (64955946).

The spelling of 20232744 in words is "twenty million, two hundred thirty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1451 1743 1992 2324 2902 3486 4353 4648 5804 6972 8706 10157 11608 13944 17412 20314 30471 34824 40628 60942 81256 120433 121884 240866 243768 361299 481732 722598 843031 963464 1445196 1686062 2529093 2890392 3372124 5058186 6744248 10116372 20232744