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2106180 = 2232511701
BaseRepresentation
bin1000000010001101000100
310222000010200
420002031010
51014344210
6113050500
723621316
oct10021504
93860120
102106180
11120944a
12856a30
1358987b
143cb7b6
152b90c0
hex202344

2106180 has 36 divisors (see below), whose sum is σ = 6389292. Its totient is φ = 561600.

The previous prime is 2106173. The next prime is 2106191. The reversal of 2106180 is 816012.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 887364 = 1104^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5671 + ... + 6030.

22106180 is an apocalyptic number.

2106180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106180 is an abundant number, since it is smaller than the sum of its proper divisors (4283112).

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

2106180 is a wasteful number, since it uses less digits than its factorization.

2106180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11716 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2106180 is about 1451.2684107359. The cubic root of 2106180 is about 128.1834121919.

The spelling of 2106180 in words is "two million, one hundred six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11701 23402 35103 46804 58505 70206 105309 117010 140412 175515 210618 234020 351030 421236 526545 702060 1053090 2106180