Search a number
-
+
440966020 = 225113176323
BaseRepresentation
bin11010010010001…
…001101110000100
31010201202101122211
4122102021232010
51400341403040
6111431233204
713633102135
oct3222115604
91121671584
10440966020
11206a06330
12103818804
1370485a51
14427c9c8c
1528aa68ea
hex1a489b84

440966020 has 48 divisors (see below), whose sum is σ = 1013560128. Its totient is φ = 159820160.

The previous prime is 440965999. The next prime is 440966021. The reversal of 440966020 is 20669044.

It is not an unprimeable number, because it can be changed into a prime (440966021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66579 + ... + 72901.

It is an arithmetic number, because the mean of its divisors is an integer number (21115836).

Almost surely, 2440966020 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 440966020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506780064).

440966020 is an abundant number, since it is smaller than the sum of its proper divisors (572594108).

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

440966020 is a wasteful number, since it uses less digits than its factorization.

440966020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6660 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 440966020 is about 20999.1909367956. The cubic root of 440966020 is about 761.1467107665.

The spelling of 440966020 in words is "four hundred forty million, nine hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 317 634 1268 1585 3170 3487 6323 6340 6974 12646 13948 17435 25292 31615 34870 63230 69553 69740 126460 139106 278212 347765 695530 1391060 2004391 4008782 8017564 10021955 20043910 22048301 40087820 44096602 88193204 110241505 220483010 440966020