Search a number
-
+
442120200 = 23352736867
BaseRepresentation
bin11010010110100…
…011100000001000
31010210221000220020
4122112203200020
51401140321300
6111512100440
713645650114
oct3226434010
91123830806
10442120200
112076244a5
12104094720
137079b1b2
1442a0a744
1528c338a0
hex1a5a3808

442120200 has 48 divisors (see below), whose sum is σ = 1370574480. Its totient is φ = 117898560.

The previous prime is 442120199. The next prime is 442120201. The reversal of 442120200 is 2021244.

It is an interprime number because it is at equal distance from previous prime (442120199) and next prime (442120201).

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 442120200.

It is not an unprimeable number, because it can be changed into a prime (442120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367834 + ... + 369033.

It is an arithmetic number, because the mean of its divisors is an integer number (28553635).

Almost surely, 2442120200 is an apocalyptic number.

442120200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442120200 is an abundant number, since it is smaller than the sum of its proper divisors (928454280).

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

442120200 is a wasteful number, since it uses less digits than its factorization.

442120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736886 (or 736877 counting only the distinct ones).

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

The square root of 442120200 is about 21026.6545127845. The cubic root of 442120200 is about 761.8102047956.

Adding to 442120200 its reverse (2021244), we get a palindrome (444141444).

The spelling of 442120200 in words is "four hundred forty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 736867 1473734 2210601 2947468 3684335 4421202 5894936 7368670 8842404 11053005 14737340 17684808 18421675 22106010 29474680 36843350 44212020 55265025 73686700 88424040 110530050 147373400 221060100 442120200