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20273304 = 23319231933
BaseRepresentation
bin100110101010…
…1100010011000
31102010222202010
41031111202120
520142221204
62002305520
7334214562
oct115254230
942128663
1020273304
11104976a7
1269582a0
13427a94c
14299a332
151ba6d89
hex1355898

20273304 has 64 divisors (see below), whose sum is σ = 55699200. Its totient is φ = 6120576.

The previous prime is 20273303. The next prime is 20273321. The reversal of 20273304 is 40337202.

It is a happy number.

It is a super-2 number, since 2×202733042 = 822013710152832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20273303) 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, 9522 + ... + 11454.

It is an arithmetic number, because the mean of its divisors is an integer number (870300).

Almost surely, 220273304 is an apocalyptic number.

20273304 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 20273304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27849600).

20273304 is an abundant number, since it is smaller than the sum of its proper divisors (35425896).

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

20273304 is a wasteful number, since it uses less digits than its factorization.

20273304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 20273304 is about 4502.5885888009. The cubic root of 20273304 is about 272.6726073062.

The spelling of 20273304 in words is "twenty million, two hundred seventy-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 1933 2622 3496 3866 5244 5799 7732 10488 11598 15464 23196 36727 44459 46392 73454 88918 110181 133377 146908 177836 220362 266754 293816 355672 440724 533508 844721 881448 1067016 1689442 2534163 3378884 5068326 6757768 10136652 20273304