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2072596420 = 225107968503
BaseRepresentation
bin111101110001001…
…0100111111000100
312100102221210210101
41323202110333010
513221041041140
6541354533444
7102234531106
oct17342247704
95312853711
102072596420
11973a21404
1249a137284
1327051491b
14159395576
15c1e5299a
hex7b894fc4

2072596420 has 24 divisors (see below), whose sum is σ = 4393134144. Its totient is φ = 821289696.

The previous prime is 2072596397. The next prime is 2072596433. The reversal of 2072596420 is 246952702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2072596420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482112 + ... + 486391.

It is an arithmetic number, because the mean of its divisors is an integer number (183047256).

Almost surely, 22072596420 is an apocalyptic number.

2072596420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072596420 is an abundant number, since it is smaller than the sum of its proper divisors (2320537724).

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

2072596420 is a wasteful number, since it uses less digits than its factorization.

2072596420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968619 (or 968617 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2072596420 is about 45525.7775331734. Note that the first 3 decimals coincide. The cubic root of 2072596420 is about 1274.9845278143.

The spelling of 2072596420 in words is "two billion, seventy-two million, five hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 968503 1937006 3874012 4842515 9685030 19370060 103629821 207259642 414519284 518149105 1036298210 2072596420