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441420540 = 2235111935201
BaseRepresentation
bin11010010011111…
…000101011111100
31010202121111010220
4122103320223330
51401000424130
6111445101340
713640004231
oct3223705374
91122544126
10441420540
11207196870
121039b7850
13705b48b2
14428a7788
1528b46410
hex1a4f8afc

441420540 has 96 divisors (see below), whose sum is σ = 1419344640. Its totient is φ = 101376000.

The previous prime is 441420523. The next prime is 441420541. The reversal of 441420540 is 45024144.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 441420540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441420541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5061 + ... + 30140.

It is an arithmetic number, because the mean of its divisors is an integer number (14784840).

Almost surely, 2441420540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709672320).

441420540 is an abundant number, since it is smaller than the sum of its proper divisors (977924100).

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

441420540 is a wasteful number, since it uses less digits than its factorization.

441420540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35243 (or 35241 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 441420540 is about 21010.0104712016. The cubic root of 441420540 is about 761.4081349972.

Adding to 441420540 its reverse (45024144), we get a palindrome (486444684).

The spelling of 441420540 in words is "four hundred forty-one million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 35201 70402 105603 140804 176005 211206 352010 387211 422412 528015 668819 704020 774422 1056030 1161633 1337638 1548844 1936055 2006457 2112060 2323266 2675276 3344095 3872110 4012914 4646532 5808165 6688190 7357009 7744220 8025828 10032285 11616330 13376380 14714018 20064570 22071027 23232660 29428036 36785045 40129140 44142054 73570090 88284108 110355135 147140180 220710270 441420540