Search a number
-
+
21427128 = 23321392141
BaseRepresentation
bin101000110111…
…1001110111000
31111022121111100
41101233032320
520441132003
62043131400
7350061522
oct121571670
944277440
1021427128
1111105578
127213b60
134592b98
142bbaa12
151d33ba3
hex146f3b8

21427128 has 48 divisors (see below), whose sum is σ = 58476600. Its totient is φ = 7087680.

The previous prime is 21427127. The next prime is 21427129. The reversal of 21427128 is 82172412.

It is an interprime number because it is at equal distance from previous prime (21427127) and next prime (21427129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21427121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8938 + ... + 11078.

Almost surely, 221427128 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 21427128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238300).

21427128 is an abundant number, since it is smaller than the sum of its proper divisors (37049472).

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

21427128 is a wasteful number, since it uses less digits than its factorization.

21427128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2285 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 21427128 is about 4628.9445881324. The cubic root of 21427128 is about 277.7503754421.

The spelling of 21427128 in words is "twenty-one million, four hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2141 2502 3336 4282 5004 6423 8564 10008 12846 17128 19269 25692 38538 51384 77076 154152 297599 595198 892797 1190396 1785594 2380792 2678391 3571188 5356782 7142376 10713564 21427128