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20845384 = 2372411297
BaseRepresentation
bin100111110000…
…1001101001000
31110020001111021
41033201031020
520314023014
62022442224
7342116500
oct117411510
943201437
1020845384
111084849a
126b93374
13441b161
142aa8a00
151c6b624
hex13e1348

20845384 has 48 divisors (see below), whose sum is σ = 46611180. Its totient is φ = 8709120.

The previous prime is 20845381. The next prime is 20845427. The reversal of 20845384 is 48354802.

It can be written as a sum of positive squares in 2 ways, for example, as 20702500 + 142884 = 4550^2 + 378^2 .

It is not an unprimeable number, because it can be changed into a prime (20845381) 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 11 ways as a sum of consecutive naturals, for example, 15424 + ... + 16720.

Almost surely, 220845384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20845384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23305590).

20845384 is an abundant number, since it is smaller than the sum of its proper divisors (25765796).

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

20845384 is a wasteful number, since it uses less digits than its factorization.

20845384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 20845384 is about 4565.6745394301. The cubic root of 20845384 is about 275.2136477480.

The spelling of 20845384 in words is "twenty million, eight hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 1297 2009 2296 2594 4018 5188 8036 9079 10376 16072 18158 36316 53177 63553 72632 106354 127106 212708 254212 372239 425416 508424 744478 1488956 2605673 2977912 5211346 10422692 20845384