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2161944 = 233310009
BaseRepresentation
bin1000001111110100011000
311001211122000
420033310120
51023140234
6114201000
724243021
oct10176430
94054560
102161944
111247334
12883160
135a9075
14403c48
152ca899
hex20fd18

2161944 has 32 divisors (see below), whose sum is σ = 6006000. Its totient is φ = 720576.

The previous prime is 2161933. The next prime is 2161949. The reversal of 2161944 is 4491612.

2161944 is a `hidden beast` number, since 2 + 1 + 619 + 44 = 666.

2161944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

2161944 is a modest number, since divided by 1944 gives 216 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161949) 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, 4789 + ... + 5220.

22161944 is an apocalyptic number.

2161944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2161944 is an abundant number, since it is smaller than the sum of its proper divisors (3844056).

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

2161944 is a wasteful number, since it uses less digits than its factorization.

2161944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10014 counting only the distinct ones).

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

The square root of 2161944 is about 1470.3550591609. The cubic root of 2161944 is about 129.3048495982.

It can be divided in two parts, 216 and 1944, that multiplied together give a square (419904 = 6482).

The spelling of 2161944 in words is "two million, one hundred sixty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10009 20018 30027 40036 60054 80072 90081 120108 180162 240216 270243 360324 540486 720648 1080972 2161944