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441420 = 223571051
BaseRepresentation
bin1101011110001001100
3211102111220
41223301030
5103111140
613243340
73515640
oct1536114
9742456
10441420
11281711
12193550
13125bc5
14b6c20
158abd0
hex6bc4c

441420 has 48 divisors (see below), whose sum is σ = 1413888. Its totient is φ = 100800.

The previous prime is 441403. The next prime is 441421. The reversal of 441420 is 24144.

441420 = T141 + T142 + ... + T175.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 441420.

It is not an unprimeable number, because it can be changed into a prime (441421) by changing a digit.

441420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (29456).

2441420 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 441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706944).

441420 is an abundant number, since it is smaller than the sum of its proper divisors (972468).

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

441420 is a wasteful number, since it uses less digits than its factorization.

441420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 441420 is about 664.3944611449. The cubic root of 441420 is about 76.1407824514.

Adding to 441420 its reverse (24144), we get a palindrome (465564).

It can be divided in two parts, 441 and 420, that added together give a triangular number (861 = T41).

The spelling of 441420 in words is "four hundred forty-one thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1051 2102 3153 4204 5255 6306 7357 10510 12612 14714 15765 21020 22071 29428 31530 36785 44142 63060 73570 88284 110355 147140 220710 441420