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1414944 = 2532173
BaseRepresentation
bin101011001011100100000
32122212221100
411121130200
5330234234
650154400
715012126
oct5313440
92585840
101414944
11887083
12582a00
133a705b
1428b916
151ce399
hex159720

1414944 has 72 divisors (see below), whose sum is σ = 4275180. Its totient is φ = 443904.

The previous prime is 1414943. The next prime is 1414957. The reversal of 1414944 is 4494141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 3600 = 1188^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414943) 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, 83224 + ... + 83240.

21414944 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 1414944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137590).

1414944 is an abundant number, since it is smaller than the sum of its proper divisors (2860236).

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

1414944 is an equidigital number, since it uses as much as digits as its factorization.

1414944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 22 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1414944 is about 1189.5141865484. The cubic root of 1414944 is about 112.2655264624.

The spelling of 1414944 in words is "one million, four hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 4913 5202 6936 9248 9826 10404 13872 14739 19652 20808 27744 29478 39304 41616 44217 58956 78608 83232 88434 117912 157216 176868 235824 353736 471648 707472 1414944