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20825064 = 233213191171
BaseRepresentation
bin100111101110…
…0001111101000
31110012000121200
41033130033220
520312400224
62022204200
7342003321
oct117341750
943160550
1020825064
11108341a7
126b83660
134411b30
142aa1448
151c655c9
hex13dc3e8

20825064 has 96 divisors (see below), whose sum is σ = 63991200. Its totient is φ = 6065280.

The previous prime is 20825047. The next prime is 20825071. The reversal of 20825064 is 46052802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17199 + ... + 18369.

It is an arithmetic number, because the mean of its divisors is an integer number (666575).

Almost surely, 220825064 is an apocalyptic number.

20825064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20825064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31995600).

20825064 is an abundant number, since it is smaller than the sum of its proper divisors (43166136).

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

20825064 is a wasteful number, since it uses less digits than its factorization.

20825064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20825064 is about 4563.4486958878. The cubic root of 20825064 is about 275.1241929405.

Adding to 20825064 its reverse (46052802), we get a palindrome (66877866).

The spelling of 20825064 in words is "twenty million, eight hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1171 1368 1482 1976 2223 2342 2964 3513 4446 4684 5928 7026 8892 9368 10539 14052 15223 17784 21078 22249 28104 30446 42156 44498 45669 60892 66747 84312 88996 91338 121784 133494 137007 177992 182676 200241 266988 274014 289237 365352 400482 533976 548028 578474 800964 867711 1096056 1156948 1601928 1735422 2313896 2603133 3470844 5206266 6941688 10412532 20825064