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444020100 = 223521480067
BaseRepresentation
bin11010011101110…
…011010110000100
31010221111120001220
4122131303112010
51402132120400
6112020520340
714001052146
oct3235632604
91127446056
10444020100
11208701967
121048500b0
1370cb4bb4
1442d82c96
1528eab7a0
hex1a773584

444020100 has 36 divisors (see below), whose sum is σ = 1284699024. Its totient is φ = 118405280.

The previous prime is 444020089. The next prime is 444020123. The reversal of 444020100 is 1020444.

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 444020100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 739734 + ... + 740333.

It is an arithmetic number, because the mean of its divisors is an integer number (35686084).

Almost surely, 2444020100 is an apocalyptic number.

It is an amenable number.

444020100 is an abundant number, since it is smaller than the sum of its proper divisors (840678924).

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

444020100 is a wasteful number, since it uses less digits than its factorization.

444020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480084 (or 1480077 counting only the distinct ones).

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

The square root of 444020100 is about 21071.7844522005. The cubic root of 444020100 is about 762.8998744657.

Adding to 444020100 its reverse (1020444), we get a palindrome (445040544).

The spelling of 444020100 in words is "four hundred forty-four million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1480067 2960134 4440201 5920268 7400335 8880402 14800670 17760804 22201005 29601340 37001675 44402010 74003350 88804020 111005025 148006700 222010050 444020100