Search a number
-
+
20904768 = 263236293
BaseRepresentation
bin100111110111…
…1101101000000
31110100001221200
41033233231000
520322423033
62024021200
7342454563
oct117575500
943301850
1020904768
1110889075
127001800
13443c1b1
142ac24da
151c7e013
hex13efb40

20904768 has 42 divisors (see below), whose sum is σ = 59921394. Its totient is φ = 6968064.

The previous prime is 20904733. The next prime is 20904773. The reversal of 20904768 is 86740902.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 9290304 = 3408^2 + 3048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17571 + ... + 18722.

Almost surely, 220904768 is an apocalyptic number.

It is an amenable number.

20904768 is an abundant number, since it is smaller than the sum of its proper divisors (39016626).

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

20904768 is a wasteful number, since it uses less digits than its factorization.

20904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36311 (or 36298 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20904768 is about 4572.1732250649. The cubic root of 20904768 is about 275.4747413995.

The spelling of 20904768 in words is "twenty million, nine hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 36293 72586 108879 145172 217758 290344 326637 435516 580688 653274 871032 1161376 1306548 1742064 2322752 2613096 3484128 5226192 6968256 10452384 20904768