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20106252 = 2233832243
BaseRepresentation
bin100110010110…
…0110000001100
31101211111121000
41030230300030
520121400002
61554540300
7332620545
oct114546014
941744530
1020106252
1110393141
126897690
13421c8ba
1429554cc
151b7261c
hex132cc0c

20106252 has 48 divisors (see below), whose sum is σ = 52778880. Its totient is φ = 6618384.

The previous prime is 20106227. The next prime is 20106253. The reversal of 20106252 is 25260102.

It is a super-2 number, since 2×201062522 = 808522738975008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20106253) 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, 7843 + ... + 10085.

It is an arithmetic number, because the mean of its divisors is an integer number (1099560).

Almost surely, 220106252 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 20106252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26389440).

20106252 is an abundant number, since it is smaller than the sum of its proper divisors (32672628).

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

20106252 is a wasteful number, since it uses less digits than its factorization.

20106252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20106252 is about 4483.9995539696. Note that the first 3 decimals coincide. The cubic root of 20106252 is about 271.9216000978.

Adding to 20106252 its reverse (25260102), we get a palindrome (45366354).

The spelling of 20106252 in words is "twenty million, one hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2243 2988 4482 4486 6729 8964 8972 13458 20187 26916 40374 60561 80748 121122 186169 242244 372338 558507 744676 1117014 1675521 2234028 3351042 5026563 6702084 10053126 20106252