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20641408 = 271311231
BaseRepresentation
bin100111010111…
…1011010000000
31102211200200121
41032233122000
520241011113
62014230024
7340310014
oct116573200
942750617
1020641408
1110719217
126ab5314
134379368
142a54544
151c2ae8d
hex13af680

20641408 has 32 divisors (see below), whose sum is σ = 41469120. Its totient is φ = 10233600.

The previous prime is 20641403. The next prime is 20641457. The reversal of 20641408 is 80414602.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (20641403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16153 + ... + 17383.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 220641408 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 20641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734560).

20641408 is an abundant number, since it is smaller than the sum of its proper divisors (20827712).

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

20641408 is a wasteful number, since it uses less digits than its factorization.

20641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20641408 is about 4543.2816333571. The cubic root of 20641408 is about 274.3130313402.

It can be divided in two parts, 206 and 41408, that added together give a palindrome (41614).

The spelling of 20641408 in words is "twenty million, six hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 1231 2096 2462 4192 4924 8384 9848 16768 19696 39392 78784 157568 161261 322522 645044 1290088 2580176 5160352 10320704 20641408