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20859340 = 22517193229
BaseRepresentation
bin100111110010…
…0100111001100
31110020202122011
41033210213030
520314444330
62023031004
7342205255
oct117444714
943222564
1020859340
1110857a27
126b9b464
134424608
142aadb2c
151c7082a
hex13e49cc

20859340 has 48 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 7437312.

The previous prime is 20859331. The next prime is 20859341. The reversal of 20859340 is 4395802.

It is a super-2 number, since 2×208593402 = 870224130471200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20859341) 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, 4846 + ... + 8074.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 220859340 is an apocalyptic number.

20859340 is a gapful number since it is divisible by the number (20) 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 20859340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

20859340 is an abundant number, since it is smaller than the sum of its proper divisors (27978260).

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

20859340 is a wasteful number, since it uses less digits than its factorization.

20859340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 20859340 is about 4567.2026449458. The cubic root of 20859340 is about 275.2750526267.

The spelling of 20859340 in words is "twenty million, eight hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3229 3230 6458 6460 12916 16145 32290 54893 61351 64580 109786 122702 219572 245404 274465 306755 548930 613510 1042967 1097860 1227020 2085934 4171868 5214835 10429670 20859340