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441020020 = 225719374481
BaseRepresentation
bin11010010010010…
…110111001110100
31010201212010201211
4122102112321310
51400400120040
6111432331204
713633415440
oct3222267164
91121763654
10441020020
11206a42961
12103843b04
13704a44bc
1442801820
1528ab78ea
hex1a496e74

441020020 has 96 divisors (see below), whose sum is σ = 1144523520. Its totient is φ = 139345920.

The previous prime is 441020017. The next prime is 441020029. The reversal of 441020020 is 20020144.

441020020 = T4864 + T4865 + ... + T4900.

It is a super-3 number, since 3×4410200203 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441020029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96180 + ... + 100660.

It is an arithmetic number, because the mean of its divisors is an integer number (11922120).

Almost surely, 2441020020 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 441020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572261760).

441020020 is an abundant number, since it is smaller than the sum of its proper divisors (703503500).

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

441020020 is a wasteful number, since it uses less digits than its factorization.

441020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 441020020 is about 21000.4766612570. The cubic root of 441020020 is about 761.1777791050.

Adding to 441020020 its reverse (20020144), we get a palindrome (461040164).

The spelling of 441020020 in words is "four hundred forty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 37 38 70 74 76 95 133 140 148 185 190 259 266 370 380 518 532 665 703 740 1036 1295 1330 1406 2590 2660 2812 3515 4481 4921 5180 7030 8962 9842 14060 17924 19684 22405 24605 31367 44810 49210 62734 85139 89620 98420 125468 156835 165797 170278 313670 331594 340556 425695 595973 627340 663188 828985 851390 1160579 1191946 1657970 1702780 2321158 2383892 2979865 3150143 3315940 4642316 5802895 5959730 6300286 11605790 11919460 12600572 15750715 22051001 23211580 31501430 44102002 63002860 88204004 110255005 220510010 441020020