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20218896 = 243415601
BaseRepresentation
bin100110100100…
…0010000010000
31102001020010000
41031020100100
520134001041
62001210000
7333600135
oct115102020
942036100
1020218896
111045a835
126930900
13425bc59
14298458c
151b95bb6
hex1348410

20218896 has 50 divisors (see below), whose sum is σ = 58523102. Its totient is φ = 6739200.

The previous prime is 20218879. The next prime is 20218897. The reversal of 20218896 is 69881202.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 291600 = 4464^2 + 540^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20218896.

It is not an unprimeable number, because it can be changed into a prime (20218897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6505 + ... + 9096.

Almost surely, 220218896 is an apocalyptic number.

It is an amenable number.

20218896 is an abundant number, since it is smaller than the sum of its proper divisors (38304206).

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

20218896 is a wasteful number, since it uses less digits than its factorization.

20218896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15621 (or 15606 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20218896 is about 4496.5426718758. The cubic root of 20218896 is about 272.4284625502.

The spelling of 20218896 in words is "twenty million, two hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 15601 31202 46803 62404 93606 124808 140409 187212 249616 280818 374424 421227 561636 748848 842454 1123272 1263681 1684908 2246544 2527362 3369816 5054724 6739632 10109448 20218896