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441132020 = 225767131359
BaseRepresentation
bin11010010010110…
…010001111110100
31010202001211100222
4122102302033310
51400412211040
6111434553512
713634363120
oct3222621764
91122054328
10441132020
1120700a01a
12103898898
1370513484
1442830580
1528adabb5
hex1a4b23f4

441132020 has 96 divisors (see below), whose sum is σ = 1085736960. Its totient is φ = 147438720.

The previous prime is 441131923. The next prime is 441132049. The reversal of 441132020 is 20231144.

It is a self number, because there is not a number n which added to its sum of digits gives 441132020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228601 + ... + 1228959.

It is an arithmetic number, because the mean of its divisors is an integer number (11309760).

Almost surely, 2441132020 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 441132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

441132020 is an abundant number, since it is smaller than the sum of its proper divisors (644604940).

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

441132020 is a wasteful number, since it uses less digits than its factorization.

441132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 441132020 is about 21003.1430981175. The cubic root of 441132020 is about 761.2422090565.

Adding to 441132020 its reverse (20231144), we get a palindrome (461363164).

The spelling of 441132020 in words is "four hundred forty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 131 134 140 262 268 335 359 469 524 655 670 718 917 938 1310 1340 1436 1795 1834 1876 2345 2513 2620 3590 3668 4585 4690 5026 7180 8777 9170 9380 10052 12565 17554 18340 24053 25130 35108 43885 47029 48106 50260 61439 87770 94058 96212 120265 122878 168371 175540 188116 235145 240530 245756 307195 329203 336742 470290 481060 614390 658406 673484 841855 940580 1228780 1316812 1646015 1683710 3150943 3292030 3367420 6301886 6584060 12603772 15754715 22056601 31509430 44113202 63018860 88226404 110283005 220566010 441132020