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2132865 = 33573761
BaseRepresentation
bin1000001000101110000001
311000100202000
420020232001
51021222430
6113414213
724062160
oct10105601
94010660
102132865
1112274a9
1286a369
13598a67
143d73d7
152c1e60
hex208b81

2132865 has 64 divisors (see below), whose sum is σ = 4523520. Its totient is φ = 933120.

The previous prime is 2132857. The next prime is 2132881. The reversal of 2132865 is 5682312.

It is not a de Polignac number, because 2132865 - 23 = 2132857 is a prime.

It is a super-2 number, since 2×21328652 = 9098226216450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34935 + ... + 34995.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

22132865 is an apocalyptic number.

It is an amenable number.

2132865 is an abundant number, since it is smaller than the sum of its proper divisors (2390655).

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

2132865 is a wasteful number, since it uses less digits than its factorization.

2132865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2132865 is about 1460.4331549236. The cubic root of 2132865 is about 128.7224970317.

The spelling of 2132865 in words is "two million, one hundred thirty-two thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 61 63 105 111 135 183 185 189 259 305 315 333 427 549 555 777 915 945 999 1281 1295 1647 1665 2135 2257 2331 2745 3843 3885 4995 6405 6771 6993 8235 11285 11529 11655 15799 19215 20313 33855 34965 47397 57645 60939 78995 101565 142191 236985 304695 426573 710955 2132865