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4161040 = 245134001
BaseRepresentation
bin1111110111111000010000
321211101212121
433313320100
52031123130
6225104024
750240212
oct17677020
97741777
104161040
112392284
121488014
13b28c70
147a45b2
15572d7a
hex3f7e10

4161040 has 40 divisors (see below), whose sum is σ = 10421208. Its totient is φ = 1536000.

The previous prime is 4161023. The next prime is 4161061. The reversal of 4161040 is 401614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 4048144 = 336^2 + 2012^2 .

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

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961 + ... + 3040.

Almost surely, 24161040 is an apocalyptic number.

4161040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4161040 is an abundant number, since it is smaller than the sum of its proper divisors (6260168).

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

4161040 is a wasteful number, since it uses less digits than its factorization.

4161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4161040 is about 2039.8627404803. The cubic root of 4161040 is about 160.8424316460.

Adding to 4161040 its reverse (401614), we get a palindrome (4562654).

It can be divided in two parts, 41610 and 40, that multiplied together give a triangular number (1664400 = T1824).

The spelling of 4161040 in words is "four million, one hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 4001 8002 16004 20005 32008 40010 52013 64016 80020 104026 160040 208052 260065 320080 416104 520130 832208 1040260 2080520 4161040