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803520240 = 24353348001
BaseRepresentation
bin101111111001001…
…011111011110000
32001222222001112220
4233321023323300
53121200121430
6211422121040
725624544415
oct5771137360
92058861486
10803520240
11382625716
121a5120180
13ca616283
1478a0410c
154a820110
hex2fe4bef0

803520240 has 40 divisors (see below), whose sum is σ = 2490913488. Its totient is φ = 214272000.

The previous prime is 803520229. The next prime is 803520247. The reversal of 803520240 is 42025308.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 803520240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803520247) by changing a digit.

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, 1673761 + ... + 1674240.

Almost surely, 2803520240 is an apocalyptic number.

803520240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803520240 is an abundant number, since it is smaller than the sum of its proper divisors (1687393248).

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

803520240 is a wasteful number, since it uses less digits than its factorization.

803520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348017 (or 3348011 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 803520240 is about 28346.4325797798. The cubic root of 803520240 is about 929.6773999599.

Adding to 803520240 its reverse (42025308), we get a palindrome (845545548).

The spelling of 803520240 in words is "eight hundred three million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3348001 6696002 10044003 13392004 16740005 20088006 26784008 33480010 40176012 50220015 53568016 66960020 80352024 100440030 133920040 160704048 200880060 267840080 401760120 803520240