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20217904 = 247971861
BaseRepresentation
bin100110100100…
…0000000110000
31102001011202021
41031020000300
520133433104
62001201224
7333564220
oct115100060
942034667
1020217904
111045a013
126930214
13425b675
142984080
151b95754
hex1348030

20217904 has 40 divisors (see below), whose sum is σ = 45254048. Its totient is φ = 8570880.

The previous prime is 20217839. The next prime is 20217931. The reversal of 20217904 is 40971202.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9934 + ... + 11794.

Almost surely, 220217904 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 20217904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627024).

20217904 is an abundant number, since it is smaller than the sum of its proper divisors (25036144).

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

20217904 is a wasteful number, since it uses less digits than its factorization.

20217904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 20217904 is about 4496.4323635522. The cubic root of 20217904 is about 272.4240070900.

The spelling of 20217904 in words is "twenty million, two hundred seventeen thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 1861 2716 3722 5432 7444 10864 13027 14888 26054 29776 52108 104216 180517 208432 361034 722068 1263619 1444136 2527238 2888272 5054476 10108952 20217904