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20882368 = 2613191321
BaseRepresentation
bin100111110101…
…0001111000000
31110021221020001
41033222033000
520321213433
62023325344
7342332353
oct117521700
943257201
1020882368
1110873261
126bb0854
134431c40
142ab829a
151c7757d
hex13ea3c0

20882368 has 56 divisors (see below), whose sum is σ = 47010320. Its totient is φ = 9123840.

The previous prime is 20882363. The next prime is 20882369. The reversal of 20882368 is 86328802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20882363) 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, 15148 + ... + 16468.

It is an arithmetic number, because the mean of its divisors is an integer number (839470).

Almost surely, 220882368 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 20882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23505160).

20882368 is an abundant number, since it is smaller than the sum of its proper divisors (26127952).

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

20882368 is a wasteful number, since it uses less digits than its factorization.

20882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 20882368 is about 4569.7229675332. The cubic root of 20882368 is about 275.3763134632.

The spelling of 20882368 in words is "twenty million, eight hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1321 1976 2642 3952 5284 7904 10568 15808 17173 21136 25099 34346 42272 50198 68692 84544 100396 137384 200792 274768 326287 401584 549536 652574 803168 1099072 1305148 1606336 2610296 5220592 10441184 20882368