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4440302120 = 235436074253
BaseRepresentation
bin1000010001010100…
…11010001000101000
3102110110012201102002
410020222122020220
533043204131440
62012335030132
7215014642142
oct41052321050
912413181362
104440302120
111979486781
12a3b06b348
13559c04207
14301a09c92
151aec4a115
hex108a9a228

4440302120 has 64 divisors (see below), whose sum is σ = 10242270720. Its totient is φ = 1731550464.

The previous prime is 4440302107. The next prime is 4440302129. The reversal of 4440302120 is 212030444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4440302092 and 4440302101.

It is not an unprimeable number, because it can be changed into a prime (4440302129) 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 15 ways as a sum of consecutive naturals, for example, 1041914 + ... + 1046166.

It is an arithmetic number, because the mean of its divisors is an integer number (160035480).

Almost surely, 24440302120 is an apocalyptic number.

4440302120 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 4440302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121135360).

4440302120 is an abundant number, since it is smaller than the sum of its proper divisors (5801968600).

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

4440302120 is a wasteful number, since it uses less digits than its factorization.

4440302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4440302120 is about 66635.5919910674. The cubic root of 4440302120 is about 1643.6304315866.

Adding to 4440302120 its reverse (212030444), we get a palindrome (4652332564).

The spelling of 4440302120 in words is "four billion, four hundred forty million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 607 860 1214 1720 2428 3035 4253 4856 6070 8506 12140 17012 21265 24280 26101 34024 42530 52202 85060 104404 130505 170120 182879 208808 261010 365758 522020 731516 914395 1044040 1463032 1828790 2581571 3657580 5163142 7315160 10326284 12907855 20652568 25815710 51631420 103262840 111007553 222015106 444030212 555037765 888060424 1110075530 2220151060 4440302120