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20642352 = 2431741617
BaseRepresentation
bin100111010111…
…1101000110000
31102211201222120
41032233220300
520241023402
62014234240
7340312533
oct116575060
942751876
1020642352
11107199a5
126ab5980
134379913
142a54a1a
151c2b3bc
hex13afa30

20642352 has 80 divisors (see below), whose sum is σ = 57933792. Its totient is φ = 6307840.

The previous prime is 20642351. The next prime is 20642357. The reversal of 20642352 is 25324602.

It is a super-2 number, since 2×206423522 = 852213392183808, which contains 22 as substring.

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 (20642351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33148 + ... + 33764.

Almost surely, 220642352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20642352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28966896).

20642352 is an abundant number, since it is smaller than the sum of its proper divisors (37291440).

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

20642352 is a wasteful number, since it uses less digits than its factorization.

20642352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20642352 is about 4543.3855218328. The cubic root of 20642352 is about 274.3172130244.

Adding to 20642352 its reverse (25324602), we get a palindrome (45966954).

The spelling of 20642352 in words is "twenty million, six hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 617 656 697 816 984 1234 1394 1851 1968 2091 2468 2788 3702 4182 4936 5576 7404 8364 9872 10489 11152 14808 16728 20978 25297 29616 31467 33456 41956 50594 62934 75891 83912 101188 125868 151782 167824 202376 251736 303564 404752 430049 503472 607128 860098 1214256 1290147 1720196 2580294 3440392 5160588 6880784 10321176 20642352