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2172105 = 325134779
BaseRepresentation
bin1000010010010011001001
311002100120100
420102103021
51024001410
6114320013
724314445
oct10222311
94070510
102172105
111253a31
12889009
135b0890
14407825
152cd8c0
hex2124c9

2172105 has 48 divisors (see below), whose sum is σ = 4193280. Its totient is φ = 1033344.

The previous prime is 2172091. The next prime is 2172109. The reversal of 2172105 is 5012712.

It is not a de Polignac number, because 2172105 - 24 = 2172089 is a prime.

It is an Ulam number.

2172105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2172109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27456 + ... + 27534.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22172105 is an apocalyptic number.

It is an amenable number.

2172105 is a deficient number, since it is larger than the sum of its proper divisors (2021175).

2172105 is a wasteful number, since it uses less digits than its factorization.

2172105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2172105 is about 1473.8062966347. The cubic root of 2172105 is about 129.5071079316.

Adding to 2172105 its reverse (5012712), we get a palindrome (7184817).

The spelling of 2172105 in words is "two million, one hundred seventy-two thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 47 65 79 117 141 195 235 237 395 423 585 611 705 711 1027 1185 1833 2115 3055 3081 3555 3713 5135 5499 9165 9243 11139 15405 18565 27495 33417 46215 48269 55695 144807 167085 241345 434421 724035 2172105