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442120 = 23571579
BaseRepresentation
bin1101011111100001000
3211110110211
41223330020
5103121440
613250504
73520660
oct1537410
9743424
10442120
11282198
12193a34
13126313
14b71a0
158aeea
hex6bf08

442120 has 32 divisors (see below), whose sum is σ = 1137600. Its totient is φ = 151488.

The previous prime is 442109. The next prime is 442121. The reversal of 442120 is 21244.

It is a self number, because there is not a number n which added to its sum of digits gives 442120.

It is not an unprimeable number, because it can be changed into a prime (442121) by changing a digit.

442120 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 7 ways as a sum of consecutive naturals, for example, 510 + ... + 1069.

It is an arithmetic number, because the mean of its divisors is an integer number (35550).

2442120 is an apocalyptic number.

442120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442120 is an abundant number, since it is smaller than the sum of its proper divisors (695480).

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

442120 is a wasteful number, since it uses less digits than its factorization.

442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 442120 is about 664.9210479448. The cubic root of 442120 is about 76.1810089923.

Adding to 442120 its reverse (21244), we get a palindrome (463364).

It can be divided in two parts, 4 and 42120, that added together give a palindrome (42124).

The spelling of 442120 in words is "four hundred forty-two thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1579 3158 6316 7895 11053 12632 15790 22106 31580 44212 55265 63160 88424 110530 221060 442120