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20075088 = 24311193197
BaseRepresentation
bin100110010010…
…1001001010000
31101202220211210
41030211021100
520114400323
61554140120
7332430645
oct114451120
941686753
1020075088
1110371790
126881640
13420b667
142947dcc
151b68293
hex1325250

20075088 has 80 divisors (see below), whose sum is σ = 57157056. Its totient is φ = 6021120.

The previous prime is 20075087. The next prime is 20075089. The reversal of 20075088 is 88057002.

It is an interprime number because it is at equal distance from previous prime (20075087) and next prime (20075089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20075087) 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, 101806 + ... + 102002.

Almost surely, 220075088 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 20075088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28578528).

20075088 is an abundant number, since it is smaller than the sum of its proper divisors (37081968).

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

20075088 is a wasteful number, since it uses less digits than its factorization.

20075088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 20075088 is about 4480.5231837365. The cubic root of 20075088 is about 271.7810377370.

The spelling of 20075088 in words is "twenty million, seventy-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 197 264 386 394 528 579 591 772 788 1158 1182 1544 1576 2123 2167 2316 2364 3088 3152 4246 4334 4632 4728 6369 6501 8492 8668 9264 9456 12738 13002 16984 17336 25476 26004 33968 34672 38021 50952 52008 76042 101904 104016 114063 152084 228126 304168 418231 456252 608336 836462 912504 1254693 1672924 1825008 2509386 3345848 5018772 6691696 10037544 20075088