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20114568 = 23363449
BaseRepresentation
bin100110010111…
…0110010001000
31101211221000000
41030232302020
520122131233
61555043000
7332654025
oct114566210
941757000
1020114568
1110399411
1268a0460
134223616
14295854c
151b74d13
hex132ec88

20114568 has 56 divisors (see below), whose sum is σ = 56562750. Its totient is φ = 6702912.

The previous prime is 20114557. The next prime is 20114573. The reversal of 20114568 is 86541102.

20114568 is a `hidden beast` number, since 201 + 1 + 456 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20088324 + 26244 = 4482^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 4108 + ... + 7556.

Almost surely, 220114568 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 20114568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28281375).

20114568 is an abundant number, since it is smaller than the sum of its proper divisors (36448182).

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

20114568 is an equidigital number, since it uses as much as digits as its factorization.

20114568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20114568 is about 4484.9267552548. The cubic root of 20114568 is about 271.9590840992.

The spelling of 20114568 in words is "twenty million, one hundred fourteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 3449 5832 6898 10347 13796 20694 27592 31041 41388 62082 82776 93123 124164 186246 248328 279369 372492 558738 744984 838107 1117476 1676214 2234952 2514321 3352428 5028642 6704856 10057284 20114568