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20117300 = 2252729991
BaseRepresentation
bin100110010111…
…1011100110100
31101212001202012
41030233130310
520122223200
61555103352
7332665010
oct114573464
941761665
1020117300
11103a0475
1268a1b58
134224938
142959540
151b75a35
hex132f734

20117300 has 72 divisors (see below), whose sum is σ = 51663360. Its totient is φ = 6652800.

The previous prime is 20117299. The next prime is 20117303. The reversal of 20117300 is 371102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117303) 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, 19805 + ... + 20795.

Almost surely, 220117300 is an apocalyptic number.

20117300 is a gapful number since it is divisible by the number (20) 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 20117300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831680).

20117300 is an abundant number, since it is smaller than the sum of its proper divisors (31546060).

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

20117300 is a wasteful number, since it uses less digits than its factorization.

20117300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 20117300 is about 4485.2313206790. The cubic root of 20117300 is about 271.9713962136.

Adding to 20117300 its reverse (371102), we get a palindrome (20488402).

The spelling of 20117300 in words is "twenty million, one hundred seventeen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 991 1015 1450 1982 2030 2900 3964 4060 4955 5075 6937 9910 10150 13874 19820 20300 24775 27748 28739 34685 49550 57478 69370 99100 114956 138740 143695 173425 201173 287390 346850 402346 574780 693700 718475 804692 1005865 1436950 2011730 2873900 4023460 5029325 10058650 20117300