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420440 = 23523457
BaseRepresentation
bin1100110101001011000
3210100201212
41212221120
5101423230
613002252
73400526
oct1465130
9710655
10420440
11267979
12183388
131194a7
14ad316
1584895
hex66a58

420440 has 32 divisors (see below), whose sum is σ = 989280. Its totient is φ = 160512.

The previous prime is 420439. The next prime is 420457. The reversal of 420440 is 44024.

420440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (30915).

2420440 is an apocalyptic number.

420440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494640).

420440 is an abundant number, since it is smaller than the sum of its proper divisors (568840).

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

420440 is a wasteful number, since it uses less digits than its factorization.

420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 420440 is about 648.4134483491. The cubic root of 420440 is about 74.9148663630.

Adding to 420440 its reverse (44024), we get a palindrome (464464).

The spelling of 420440 in words is "four hundred twenty thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 457 460 914 920 1828 2285 3656 4570 9140 10511 18280 21022 42044 52555 84088 105110 210220 420440