Search a number
-
+
20596512 = 253732939
BaseRepresentation
bin100111010010…
…0011100100000
31102202102002210
41032210130200
520233042022
62013242120
7340032066
oct116443440
942672083
1020596512
1110698512
126a93340
134361ab1
142a42036
151c1ca0c
hex13a4720

20596512 has 48 divisors (see below), whose sum is σ = 54825120. Its totient is φ = 6769152.

The previous prime is 20596507. The next prime is 20596519. The reversal of 20596512 is 21569502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×205965122 = 848432613132288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20596512.

It is not an unprimeable number, because it can be changed into a prime (20596519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5539 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (1142190).

Almost surely, 220596512 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 20596512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412560).

20596512 is an abundant number, since it is smaller than the sum of its proper divisors (34228608).

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

20596512 is a wasteful number, since it uses less digits than its factorization.

20596512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 20596512 is about 4538.3380217873. The cubic root of 20596512 is about 274.1140058727.

The spelling of 20596512 in words is "twenty million, five hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 2939 3504 5878 7008 8817 11756 17634 23512 35268 47024 70536 94048 141072 214547 282144 429094 643641 858188 1287282 1716376 2574564 3432752 5149128 6865504 10298256 20596512