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20763288 = 23327133169
BaseRepresentation
bin100111100110…
…1001010011000
31110001212212200
41033031022120
520303411123
62021010200
7341325240
oct117151230
943055780
1020763288
11107a1847
126b53960
1343bc990
142a86b20
151c52143
hex13cd298

20763288 has 96 divisors (see below), whose sum is σ = 69232800. Its totient is φ = 5474304.

The previous prime is 20763283. The next prime is 20763349. The reversal of 20763288 is 88236702.

It is a happy number.

It is a super-2 number, since 2×207632882 = 862228257141888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20763283) 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, 4968 + ... + 8136.

It is an arithmetic number, because the mean of its divisors is an integer number (721175).

Almost surely, 220763288 is an apocalyptic number.

20763288 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 20763288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34616400).

20763288 is an abundant number, since it is smaller than the sum of its proper divisors (48469512).

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

20763288 is a wasteful number, since it uses less digits than its factorization.

20763288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20763288 is about 4556.6751036254. The cubic root of 20763288 is about 274.8518783592.

The spelling of 20763288 in words is "twenty million, seven hundred sixty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3169 3276 6338 6552 9507 12676 19014 22183 25352 28521 38028 41197 44366 57042 66549 76056 82394 88732 114084 123591 133098 164788 177464 199647 228168 247182 266196 288379 329576 370773 399294 494364 532392 576758 741546 798588 865137 988728 1153516 1483092 1597176 1730274 2307032 2595411 2966184 3460548 5190822 6921096 10381644 20763288