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2105190 = 234523113
BaseRepresentation
bin1000000001111101100110
310221221210000
420001331212
51014331230
6113042130
723615403
oct10017546
93857700
102105190
11120872a
12856346
13589299
143cb2aa
152b8b60
hex201f66

2105190 has 80 divisors (see below), whose sum is σ = 5959008. Its totient is φ = 532224.

The previous prime is 2105183. The next prime is 2105203. The reversal of 2105190 is 915012.

It is a super-2 number, since 2×21051902 = 8863649872200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 18574 + ... + 18686.

22105190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979504).

2105190 is an abundant number, since it is smaller than the sum of its proper divisors (3853818).

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

2105190 is a wasteful number, since it uses less digits than its factorization.

2105190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 2105190 is about 1450.9272897013. The cubic root of 2105190 is about 128.1633250410.

The spelling of 2105190 in words is "two million, one hundred five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 113 115 135 138 162 207 226 230 270 339 345 405 414 565 621 678 690 810 1017 1035 1130 1242 1695 1863 2034 2070 2599 3051 3105 3390 3726 5085 5198 6102 6210 7797 9153 9315 10170 12995 15255 15594 18306 18630 23391 25990 30510 38985 45765 46782 70173 77970 91530 116955 140346 210519 233910 350865 421038 701730 1052595 2105190