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2189520 = 243253041
BaseRepresentation
bin1000010110100011010000
311010020110100
420112203100
51030031040
6114532400
724416304
oct10264320
94106410
102189520
111266023
12897100
135b8798
1440dd04
152d3b30
hex2168d0

2189520 has 60 divisors (see below), whose sum is σ = 7355556. Its totient is φ = 583680.

The previous prime is 2189513. The next prime is 2189521. The reversal of 2189520 is 259812.

2189520 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 571536 = 1272^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801 + ... + 2240.

22189520 is an apocalyptic number.

2189520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189520 is an abundant number, since it is smaller than the sum of its proper divisors (5166036).

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

2189520 is a wasteful number, since it uses less digits than its factorization.

2189520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2189520 is about 1479.7026728367. The cubic root of 2189520 is about 129.8522977317.

The spelling of 2189520 in words is "two million, one hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3041 6082 9123 12164 15205 18246 24328 27369 30410 36492 45615 48656 54738 60820 72984 91230 109476 121640 136845 145968 182460 218952 243280 273690 364920 437904 547380 729840 1094760 2189520