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20642304 = 29389151
BaseRepresentation
bin100111010111…
…1101000000000
31102211201220210
41032233220000
520241023204
62014234120
7340312434
oct116575000
942751823
1020642304
1110719961
126ab5940
1343798a7
142a549c4
151c2b389
hex13afa00

20642304 has 80 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 6758400.

The previous prime is 20642299. The next prime is 20642351. The reversal of 20642304 is 40324602.

It is a super-2 number, since 2×206423042 = 852209428856832, which contains 22 as substring.

It is an unprimeable number.

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, 136629 + ... + 136779.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 220642304 is an apocalyptic number.

20642304 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 20642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

20642304 is an abundant number, since it is smaller than the sum of its proper divisors (35336256).

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

20642304 is an equidigital number, since it uses as much as digits as its factorization.

20642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 20642304 is about 4543.3802394253. The cubic root of 20642304 is about 274.3170003995.

Adding to 20642304 its reverse (40324602), we get a palindrome (60966906).

The spelling of 20642304 in words is "twenty million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 151 178 192 256 267 302 356 384 453 512 534 604 712 768 906 1068 1208 1424 1536 1812 2136 2416 2848 3624 4272 4832 5696 7248 8544 9664 11392 13439 14496 17088 19328 22784 26878 28992 34176 38656 40317 45568 53756 57984 68352 77312 80634 107512 115968 136704 161268 215024 231936 322536 430048 645072 860096 1290144 1720192 2580288 3440384 5160576 6880768 10321152 20642304