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800014240 = 25513736497
BaseRepresentation
bin101111101011110…
…011111110100000
32001202100221020001
4233223303332200
53114300423430
6211215025344
725553003014
oct5753637640
92052327201
10800014240
113806505a3
121a3b0b254
13c998950c
1478370544
154a37b3ca
hex2faf3fa0

800014240 has 48 divisors (see below), whose sum is σ = 1903881672. Its totient is φ = 317661184.

The previous prime is 800014219. The next prime is 800014253. The reversal of 800014240 is 42410008.

It can be written as a sum of positive squares in 4 ways, for example, as 798175504 + 1838736 = 28252^2 + 1356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3672 + ... + 40168.

Almost surely, 2800014240 is an apocalyptic number.

800014240 is a gapful number since it is divisible by the number (80) 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 800014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951940836).

800014240 is an abundant number, since it is smaller than the sum of its proper divisors (1103867432).

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

800014240 is a wasteful number, since it uses less digits than its factorization.

800014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36649 (or 36641 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 800014240 is about 28284.5229763558. The cubic root of 800014240 is about 928.3232747086.

Adding to 800014240 its reverse (42410008), we get a palindrome (842424248).

The spelling of 800014240 in words is "eight hundred million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 36497 72994 145988 182485 291976 364970 583952 729940 1167904 1459880 2919760 5000089 5839520 10000178 20000356 25000445 40000712 50000890 80001424 100001780 160002848 200003560 400007120 800014240