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2116944 = 243261241
BaseRepresentation
bin1000000100110101010000
310222112220100
420010311100
51020220234
6113212400
723664564
oct10046520
93875810
102116944
111216545
12861100
1359173b
143d16a4
152bc399
hex204d50

2116944 has 60 divisors (see below), whose sum is σ = 6046612. Its totient is φ = 691200.

The previous prime is 2116921. The next prime is 2116949. The reversal of 2116944 is 4496112.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 1411344 = 840^2 + 1188^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116949) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8664 + ... + 8904.

22116944 is an apocalyptic number.

2116944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023306).

2116944 is an abundant number, since it is smaller than the sum of its proper divisors (3929668).

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

2116944 is a wasteful number, since it uses less digits than its factorization.

2116944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2116944 is about 1454.9721646822. The cubic root of 2116944 is about 128.4014091324.

The spelling of 2116944 in words is "two million, one hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 241 244 366 482 488 549 723 732 964 976 1098 1446 1464 1928 2169 2196 2892 2928 3856 4338 4392 5784 8676 8784 11568 14701 17352 29402 34704 44103 58804 88206 117608 132309 176412 235216 264618 352824 529236 705648 1058472 2116944