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20414304 = 253273971
BaseRepresentation
bin100110111011…
…1111101100000
31102102011011100
41031313331200
520211224204
62005314400
7335342631
oct115677540
942364140
1020414304
1110583629
126a05a00
1342c9b91
1429d5888
151bd3a39
hex1377f60

20414304 has 72 divisors (see below), whose sum is σ = 58909032. Its totient is φ = 6704640.

The previous prime is 20414287. The next prime is 20414327. The reversal of 20414304 is 40341402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20539 + ... + 21509.

It is an arithmetic number, because the mean of its divisors is an integer number (818181).

Almost surely, 220414304 is an apocalyptic number.

20414304 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 20414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29454516).

20414304 is an abundant number, since it is smaller than the sum of its proper divisors (38494728).

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

20414304 is a wasteful number, since it uses less digits than its factorization.

20414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20414304 is about 4518.2191181925. The cubic root of 20414304 is about 273.3032897113.

Adding to 20414304 its reverse (40341402), we get a palindrome (60755706).

The spelling of 20414304 in words is "twenty million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 971 1168 1314 1752 1942 2336 2628 2913 3504 3884 5256 5826 7008 7768 8739 10512 11652 15536 17478 21024 23304 31072 34956 46608 69912 70883 93216 139824 141766 212649 279648 283532 425298 567064 637947 850596 1134128 1275894 1701192 2268256 2551788 3402384 5103576 6804768 10207152 20414304