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20267008 = 2141237
BaseRepresentation
bin100110101010…
…0000000000000
31102010200002221
41031110000000
520142021013
62002220424
7334160326
oct115240000
942120087
1020267008
11104929a3
126954714
134277b18
142997d16
151ba508d
hex1354000

20267008 has 30 divisors (see below), whose sum is σ = 40565546. Its totient is φ = 10125312.

The previous prime is 20266999. The next prime is 20267029. The reversal of 20267008 is 80076202.

It can be written as a sum of positive squares in only one way, i.e., 18939904 + 1327104 = 4352^2 + 1152^2 .

It is a super-2 number, since 2×202670082 = 821503226544128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15766 + ... + 17002.

Almost surely, 220267008 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 20267008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282773).

20267008 is an abundant number, since it is smaller than the sum of its proper divisors (20298538).

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

20267008 is an frugal number, since it uses more digits than its factorization.

20267008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 20267008 is about 4501.8893811377. The cubic root of 20267008 is about 272.6443776619.

The spelling of 20267008 in words is "twenty million, two hundred sixty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1237 2048 2474 4096 4948 8192 9896 16384 19792 39584 79168 158336 316672 633344 1266688 2533376 5066752 10133504 20267008