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20117358 = 23217292267
BaseRepresentation
bin100110010111…
…1011101101110
31101212001211100
41030233131232
520122223413
61555103530
7332665122
oct114573556
941761740
1020117358
11103a0518
1268a1ba6
134224981
142959582
151b75a73
hex132f76e

20117358 has 48 divisors (see below), whose sum is σ = 47764080. Its totient is φ = 6091008.

The previous prime is 20117351. The next prime is 20117359. The reversal of 20117358 is 85371102.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117351) 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, 7741 + ... + 10007.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 220117358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20117358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882040).

20117358 is an abundant number, since it is smaller than the sum of its proper divisors (27646722).

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

20117358 is a wasteful number, since it uses less digits than its factorization.

20117358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 20117358 is about 4485.2377863386. The cubic root of 20117358 is about 271.9716575860.

The spelling of 20117358 in words is "twenty million, one hundred seventeen thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2267 2958 4437 4534 6801 8874 13602 20403 38539 40806 65743 77078 115617 131486 197229 231234 346851 394458 591687 693702 1117631 1183374 2235262 3352893 6705786 10058679 20117358