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20288058 = 2372151457
BaseRepresentation
bin100110101100…
…1001000111010
31102011201222120
41031121020322
520143204213
62002502110
7334305600
oct115311072
942151876
1020288058
11104a779a
126964936
13428458b
1429a1870
151bab423
hex135923a

20288058 has 48 divisors (see below), whose sum is σ = 47617344. Its totient is φ = 5745600.

The previous prime is 20288053. The next prime is 20288063. The reversal of 20288058 is 85088202.

It is an interprime number because it is at equal distance from previous prime (20288053) and next prime (20288063).

It is a super-3 number, since 3×202880583 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20288053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44166 + ... + 44622.

It is an arithmetic number, because the mean of its divisors is an integer number (992028).

Almost surely, 220288058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20288058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808672).

20288058 is an abundant number, since it is smaller than the sum of its proper divisors (27329286).

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

20288058 is a wasteful number, since it uses less digits than its factorization.

20288058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 20288058 is about 4504.2266816847. The cubic root of 20288058 is about 272.7387375584.

The spelling of 20288058 in words is "twenty million, two hundred eighty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 151 294 302 453 457 906 914 1057 1371 2114 2742 3171 3199 6342 6398 7399 9597 14798 19194 22197 22393 44394 44786 67179 69007 134358 138014 207021 414042 483049 966098 1449147 2898294 3381343 6762686 10144029 20288058