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20394864 = 2432720233
BaseRepresentation
bin100110111001…
…1001101110000
31102101011111100
41031303031300
520210113424
62005044400
7335232150
oct115631560
942334440
1020394864
111056aa66
1269b6700
1342c1089
1429cc760
151bccdc9
hex1373370

20394864 has 60 divisors (see below), whose sum is σ = 65234416. Its totient is φ = 5826816.

The previous prime is 20394863. The next prime is 20394937. The reversal of 20394864 is 46849302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20394863) 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 11 ways as a sum of consecutive naturals, for example, 9109 + ... + 11124.

Almost surely, 220394864 is an apocalyptic number.

20394864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20394864 is an abundant number, since it is smaller than the sum of its proper divisors (44839552).

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

20394864 is a wasteful number, since it uses less digits than its factorization.

20394864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20254 (or 20245 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20394864 is about 4516.0673157073. The cubic root of 20394864 is about 273.2165090022.

It can be divided in two parts, 2039 and 4864, that added together give a triangular number (6903 = T117).

The spelling of 20394864 in words is "twenty million, three hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 20233 40466 60699 80932 121398 141631 161864 182097 242796 283262 323728 364194 424893 485592 566524 728388 849786 971184 1133048 1274679 1456776 1699572 2266096 2549358 2913552 3399144 5098716 6798288 10197432 20394864