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4232080 = 24552901
BaseRepresentation
bin10000001001001110010000
321222000022201
4100021032100
52040411310
6230412544
750654266
oct20111620
97860281
104232080
112430696
121501154
13b523b8
147c2436
15588e3a
hex409390

4232080 has 20 divisors (see below), whose sum is σ = 9839772. Its totient is φ = 1692800.

The previous prime is 4232051. The next prime is 4232101. The reversal of 4232080 is 802324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 861184 = 1836^2 + 928^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×42320802 = 35821002252800, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26371 + ... + 26530.

Almost surely, 24232080 is an apocalyptic number.

4232080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4232080 is an abundant number, since it is smaller than the sum of its proper divisors (5607692).

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

4232080 is a wasteful number, since it uses less digits than its factorization.

4232080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52914 (or 52908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4232080 is about 2057.2019832773. The cubic root of 4232080 is about 161.7526072040.

It can be divided in two parts, 42320 and 80, that multiplied together give a square (3385600 = 18402).

The spelling of 4232080 in words is "four million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 52901 105802 211604 264505 423208 529010 846416 1058020 2116040 4232080