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2125305 = 335713173
BaseRepresentation
bin1000000110110111111001
310222222101000
420012313321
51021002210
6113315213
724031140
oct10066771
93888330
102125305
111221856
12865b09
135954a0
143d4757
152beac0
hex206df9

2125305 has 64 divisors (see below), whose sum is σ = 4677120. Its totient is φ = 891648.

The previous prime is 2125273. The next prime is 2125313. The reversal of 2125305 is 5035212.

It is a happy number.

It is not a de Polignac number, because 2125305 - 25 = 2125273 is a prime.

It is a Curzon number.

2125305 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12199 + ... + 12371.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

22125305 is an apocalyptic number.

It is an amenable number.

2125305 is an abundant number, since it is smaller than the sum of its proper divisors (2551815).

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

2125305 is a wasteful number, since it uses less digits than its factorization.

2125305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2125305 is about 1457.8425840947. The cubic root of 2125305 is about 128.5702301476.

The spelling of 2125305 in words is "two million, one hundred twenty-five thousand, three hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 173 189 195 273 315 351 455 519 585 819 865 945 1211 1365 1557 1755 2249 2457 2595 3633 4095 4671 6055 6747 7785 10899 11245 12285 15743 18165 20241 23355 32697 33735 47229 54495 60723 78715 101205 141687 163485 236145 303615 425061 708435 2125305