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2166960 = 24359029
BaseRepresentation
bin1000010001000010110000
311002002111210
420101002300
51023320320
6114240120
724263445
oct10210260
94062453
102166960
111250084
12886040
135ab433
144059cc
152cc0e0
hex2110b0

2166960 has 40 divisors (see below), whose sum is σ = 6718320. Its totient is φ = 577792.

The previous prime is 2166953. The next prime is 2166961. The reversal of 2166960 is 696612.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2166961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4275 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (167958).

22166960 is an apocalyptic number.

2166960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166960 is an abundant number, since it is smaller than the sum of its proper divisors (4551360).

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

2166960 is a wasteful number, since it uses less digits than its factorization.

2166960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2166960 is about 1472.0597813948. The cubic root of 2166960 is about 129.4047738891.

The spelling of 2166960 in words is "two million, one hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9029 18058 27087 36116 45145 54174 72232 90290 108348 135435 144464 180580 216696 270870 361160 433392 541740 722320 1083480 2166960