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20123166 = 23719151167
BaseRepresentation
bin100110011000…
…0111000011110
31101212100210110
41030300320132
520122420131
61555150450
7333021060
oct114607036
941770713
1020123166
11103a4918
1268a5426
1342274cb
14295b730
151b77646
hex1330e1e

20123166 has 64 divisors (see below), whose sum is σ = 49029120. Its totient is φ = 5378400.

The previous prime is 20123149. The next prime is 20123171. The reversal of 20123166 is 66132102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120415 + ... + 120581.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 220123166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514560).

20123166 is an abundant number, since it is smaller than the sum of its proper divisors (28905954).

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

20123166 is a wasteful number, since it uses less digits than its factorization.

20123166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20123166 is about 4485.8851969260. The cubic root of 20123166 is about 271.9978283419.

Adding to 20123166 its reverse (66132102), we get a palindrome (86255268).

The spelling of 20123166 in words is "twenty million, one hundred twenty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 151 167 266 302 334 399 453 501 798 906 1002 1057 1169 2114 2338 2869 3171 3173 3507 5738 6342 6346 7014 8607 9519 17214 19038 20083 22211 25217 40166 44422 50434 60249 66633 75651 120498 133266 151302 176519 353038 479123 529557 958246 1059114 1437369 2874738 3353861 6707722 10061583 20123166