Search a number
-
+
20314128 = 243974363
BaseRepresentation
bin100110101111…
…1100000010000
31102020001202010
41031133200100
520200023003
62003222520
7334444602
oct115374020
942201663
1020314128
111051533a
126977a40
1342933c3
1429ab172
151bb4003
hex135f810

20314128 has 40 divisors (see below), whose sum is σ = 53031328. Its totient is φ = 6700032.

The previous prime is 20314127. The next prime is 20314163. The reversal of 20314128 is 82141302.

It is not an unprimeable number, because it can be changed into a prime (20314127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475 + ... + 6837.

Almost surely, 220314128 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 20314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515664).

20314128 is an abundant number, since it is smaller than the sum of its proper divisors (32717200).

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

20314128 is a wasteful number, since it uses less digits than its factorization.

20314128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20314128 is about 4507.1197010951. The cubic root of 20314128 is about 272.8555099556.

The spelling of 20314128 in words is "twenty million, three hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4363 4656 8726 13089 17452 26178 34904 52356 69808 104712 209424 423211 846422 1269633 1692844 2539266 3385688 5078532 6771376 10157064 20314128