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20468032 = 261373337
BaseRepresentation
bin100111000010…
…1000101000000
31102111212212021
41032011011000
520214434112
62010411224
7335655364
oct116050500
942455767
1020468032
111060aa32
126a30b14
134318480
142a0b2a4
151be4907
hex1385140

20468032 has 56 divisors (see below), whose sum is σ = 44471336. Its totient is φ = 9289728.

The previous prime is 20468027. The next prime is 20468033. The reversal of 20468032 is 23086402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 20214016 = 504^2 + 4496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20467988 and 20468006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20468033) 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, 60568 + ... + 60904.

It is an arithmetic number, because the mean of its divisors is an integer number (794131).

Almost surely, 220468032 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 20468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22235668).

20468032 is an abundant number, since it is smaller than the sum of its proper divisors (24003304).

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

20468032 is a wasteful number, since it uses less digits than its factorization.

20468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 20468032 is about 4524.1609166784. The cubic root of 20468032 is about 273.5428468333.

The spelling of 20468032 in words is "twenty million, four hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 337 416 584 674 832 949 1168 1348 1898 2336 2696 3796 4381 4672 5392 7592 8762 10784 15184 17524 21568 24601 30368 35048 49202 60736 70096 98404 140192 196808 280384 319813 393616 639626 787232 1279252 1574464 2558504 5117008 10234016 20468032