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20339088 = 2437115503
BaseRepresentation
bin100110110010…
…1100110010000
31102021022222120
41031211212100
520201322323
62003534240
7334610430
oct115454620
942238876
1020339088
1110532070
12698a380
1342a1883
1429b62c0
151bbb5e3
hex1365990

20339088 has 80 divisors (see below), whose sum is σ = 65519616. Its totient is φ = 5281920.

The previous prime is 20339087. The next prime is 20339113. The reversal of 20339088 is 88093302.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20339087) 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 15 ways as a sum of consecutive naturals, for example, 945 + ... + 6447.

Almost surely, 220339088 is an apocalyptic number.

20339088 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 20339088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32759808).

20339088 is an abundant number, since it is smaller than the sum of its proper divisors (45180528).

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

20339088 is a wasteful number, since it uses less digits than its factorization.

20339088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20339088 is about 4509.8878034825. The cubic root of 20339088 is about 272.9672168768.

The spelling of 20339088 in words is "twenty million, three hundred thirty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 5503 11006 16509 22012 33018 38521 44024 60533 66036 77042 88048 115563 121066 132072 154084 181599 231126 242132 264144 308168 363198 423731 462252 484264 616336 726396 847462 924504 968528 1271193 1452792 1694924 1849008 2542386 2905584 3389848 5084772 6779696 10169544 20339088