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441402120 = 233251226117
BaseRepresentation
bin11010010011110…
…100001100001000
31010202120112212200
4122103310030020
51400444331440
6111444440200
713636566435
oct3223641410
91122515780
10441402120
11207183a45
121039a9060
13705a93b3
14428a0b8c
1528b40c30
hex1a4f4308

441402120 has 48 divisors (see below), whose sum is σ = 1434558060. Its totient is φ = 117707136.

The previous prime is 441402109. The next prime is 441402121. The reversal of 441402120 is 21204144.

It can be written as a sum of positive squares in 2 ways, for example, as 432723204 + 8678916 = 20802^2 + 2946^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 441402093 and 441402102.

It is not an unprimeable number, because it can be changed into a prime (441402121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612699 + ... + 613418.

Almost surely, 2441402120 is an apocalyptic number.

441402120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441402120 is an abundant number, since it is smaller than the sum of its proper divisors (993155940).

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

441402120 is a wasteful number, since it uses less digits than its factorization.

441402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226134 (or 1226127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 441402120 is about 21009.5721041624. The cubic root of 441402120 is about 761.3975439382.

Adding to 441402120 its reverse (21204144), we get a palindrome (462606264).

The spelling of 441402120 in words is "four hundred forty-one million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1226117 2452234 3678351 4904468 6130585 7356702 9808936 11035053 12261170 14713404 18391755 22070106 24522340 29426808 36783510 44140212 49044680 55175265 73567020 88280424 110350530 147134040 220701060 441402120