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20100258 = 233735099
BaseRepresentation
bin100110010101…
…1010010100010
31101211012101000
41030223102202
520121202013
61554452430
7332564223
oct114532242
941735330
1020100258
1110389692
126894116
134219c59
14295324a
151b70973
hex132b4a2

20100258 has 32 divisors (see below), whose sum is σ = 45288000. Its totient is φ = 6607008.

The previous prime is 20100257. The next prime is 20100263. The reversal of 20100258 is 85200102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20100258.

It is not an unprimeable number, because it can be changed into a prime (20100251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 6491.

It is an arithmetic number, because the mean of its divisors is an integer number (1415250).

Almost surely, 220100258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644000).

20100258 is an abundant number, since it is smaller than the sum of its proper divisors (25187742).

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

20100258 is a wasteful number, since it uses less digits than its factorization.

20100258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20100258 is about 4483.3311276327. The cubic root of 20100258 is about 271.8945759983.

The spelling of 20100258 in words is "twenty million, one hundred thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 5099 10198 15297 30594 45891 91782 137673 275346 372227 744454 1116681 2233362 3350043 6700086 10050129 20100258