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20087088 = 2437191313
BaseRepresentation
bin100110010100…
…0000100110000
31101210112022020
41030220010300
520120241323
61554311440
7332510640
oct114500460
941715266
1020087088
111037a7aa
126888580
134213c68
14294c520
151b6bae3
hex1328130

20087088 has 80 divisors (see below), whose sum is σ = 59805696. Its totient is φ = 5690880.

The previous prime is 20087083. The next prime is 20087131. The reversal of 20087088 is 88078002.

It is a super-2 number, since 2×200870882 = 806982208639488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20087083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64020 + ... + 64332.

Almost surely, 220087088 is an apocalyptic number.

20087088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20087088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29902848).

20087088 is an abundant number, since it is smaller than the sum of its proper divisors (39718608).

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

20087088 is a wasteful number, since it uses less digits than its factorization.

20087088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 20087088 is about 4481.8621130062. The cubic root of 20087088 is about 271.8351798465.

The spelling of 20087088 in words is "twenty million, eighty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 313 336 382 573 626 764 939 1146 1252 1337 1528 1878 2191 2292 2504 2674 3056 3756 4011 4382 4584 5008 5348 6573 7512 8022 8764 9168 10696 13146 15024 16044 17528 21392 26292 32088 35056 52584 59783 64176 105168 119566 179349 239132 358698 418481 478264 717396 836962 956528 1255443 1434792 1673924 2510886 2869584 3347848 5021772 6695696 10043544 20087088