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2162944 = 2871771
BaseRepresentation
bin1000010000000100000000
311001220000001
420100010000
51023203234
6114205344
724245650
oct10200400
94056001
102162944
111248063
12883854
135a9664
14404360
152cad14
hex210100

2162944 has 72 divisors (see below), whose sum is σ = 5298048. Its totient is φ = 860160.

The previous prime is 2162929. The next prime is 2162947. The reversal of 2162944 is 4492612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2162947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30429 + ... + 30499.

It is an arithmetic number, because the mean of its divisors is an integer number (73584).

22162944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024).

2162944 is an abundant number, since it is smaller than the sum of its proper divisors (3135104).

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

2162944 is an equidigital number, since it uses as much as digits as its factorization.

2162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 2162944 is about 1470.6950737661. The cubic root of 2162944 is about 129.3247830344.

It can be divided in two parts, 216 and 2944, that added together give a triangular number (3160 = T79).

The spelling of 2162944 in words is "two million, one hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 71 112 119 128 136 142 224 238 256 272 284 448 476 497 544 568 896 952 994 1088 1136 1207 1792 1904 1988 2176 2272 2414 3808 3976 4352 4544 4828 7616 7952 8449 9088 9656 15232 15904 16898 18176 19312 30464 31808 33796 38624 63616 67592 77248 127232 135184 154496 270368 308992 540736 1081472 2162944