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20166102 = 23211247197
BaseRepresentation
bin100110011101…
…1010111010110
31101221112200200
41030323113112
520130303402
62000121330
7333260205
oct114732726
941845620
1020166102
1110424100
126906246
134240c08
14296d23c
151b8521c
hex133b5d6

20166102 has 72 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 5950560.

The previous prime is 20166077. The next prime is 20166119.

It is a happy number.

20166102 is a `hidden beast` number, since 2 + 0 + 1 + 661 + 0 + 2 = 666.

20166102 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102268 + ... + 102464.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 220166102 is an apocalyptic number.

20166102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20166102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).

20166102 is an abundant number, since it is smaller than the sum of its proper divisors (29131146).

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

20166102 is a wasteful number, since it uses less digits than its factorization.

20166102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20166102 is about 4490.6683244257. The cubic root of 20166102 is about 272.1911412399.

It can be divided in two parts, 2016 and 6102, that added together give a palindrome (8118).

The spelling of 20166102 in words is "twenty million, one hundred sixty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 121 141 197 198 242 282 363 394 423 517 591 726 846 1034 1089 1182 1551 1773 2167 2178 3102 3546 4334 4653 5687 6501 9259 9306 11374 13002 17061 18518 19503 23837 27777 34122 39006 47674 51183 55554 71511 83331 101849 102366 143022 166662 203698 214533 305547 429066 611094 916641 1120339 1833282 2240678 3361017 6722034 10083051 20166102