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2083623040 = 2753255661
BaseRepresentation
bin111110000110001…
…1001000010000000
312101012201000110201
41330030121002000
513231401414130
6542431134544
7102430334512
oct17414310200
95335630421
102083623040
1197a172914
124a1974454
132728a5855
1415aa25bb2
15c2dcebca
hex7c319080

2083623040 has 32 divisors (see below), whose sum is σ = 4981162860. Its totient is φ = 833448960.

The previous prime is 2083622987. The next prime is 2083623041. The reversal of 2083623040 is 403263802.

It can be written as a sum of positive squares in 2 ways, for example, as 1706020416 + 377602624 = 41304^2 + 19432^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2083623041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1627191 + ... + 1628470.

Almost surely, 22083623040 is an apocalyptic number.

2083623040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083623040 is an abundant number, since it is smaller than the sum of its proper divisors (2897539820).

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

2083623040 is an equidigital number, since it uses as much as digits as its factorization.

2083623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255680 (or 3255668 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2083623040 is about 45646.7199259706. The cubic root of 2083623040 is about 1277.2415858990.

Adding to 2083623040 its reverse (403263802), we get a palindrome (2486886842).

The spelling of 2083623040 in words is "two billion, eighty-three million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3255661 6511322 13022644 16278305 26045288 32556610 52090576 65113220 104181152 130226440 208362304 260452880 416724608 520905760 1041811520 2083623040