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2683657040 = 24533545713
BaseRepresentation
bin1001111111110101…
…0101101101010000
320221000202220101012
42133331111231100
520444004011130
61122144030052
7123334465001
oct23775255520
96830686335
102683657040
111157944289
1262a902328
13339cb3a5c
141b65bb1a8
1510a907995
hex9ff55b50

2683657040 has 20 divisors (see below), whose sum is σ = 6239502804. Its totient is φ = 1073462784.

The previous prime is 2683657019. The next prime is 2683657051. The reversal of 2683657040 is 407563862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1228081936 + 1455575104 = 35044^2 + 38152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 16772777 + ... + 16772936.

Almost surely, 22683657040 is an apocalyptic number.

2683657040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2683657040 is an abundant number, since it is smaller than the sum of its proper divisors (3555845764).

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

2683657040 is a wasteful number, since it uses less digits than its factorization.

2683657040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33545726 (or 33545720 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 2683657040 is about 51804.0253262234. The cubic root of 2683657040 is about 1389.6614326451.

The spelling of 2683657040 in words is "two billion, six hundred eighty-three million, six hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 33545713 67091426 134182852 167728565 268365704 335457130 536731408 670914260 1341828520 2683657040