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2163120 = 24359013
BaseRepresentation
bin1000010000000110110000
311001220020120
420100012300
51023204440
6114210240
724246321
oct10200660
94056216
102163120
111248203
12883980
135a976b
14404448
152cadd0
hex2101b0

2163120 has 40 divisors (see below), whose sum is σ = 6706416. Its totient is φ = 576768.

The previous prime is 2163113. The next prime is 2163137. The reversal of 2163120 is 213612.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2163120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4267 + ... + 4746.

22163120 is an apocalyptic number.

2163120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2163120 is an abundant number, since it is smaller than the sum of its proper divisors (4543296).

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

2163120 is a wasteful number, since it uses less digits than its factorization.

2163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9029 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2163120 is about 1470.7549082019. The cubic root of 2163120 is about 129.3282906833.

Adding to 2163120 its reverse (213612), we get a palindrome (2376732).

It can be divided in two parts, 2163 and 120, that multiplied together give a triangular number (259560 = T720).

The spelling of 2163120 in words is "two million, one hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9013 18026 27039 36052 45065 54078 72104 90130 108156 135195 144208 180260 216312 270390 360520 432624 540780 721040 1081560 2163120