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2032957840 = 24525411973
BaseRepresentation
bin111100100101100…
…0111100110010000
312020200100221212211
41321023013212100
513130414122330
6533421201504
7101243566534
oct17113074620
95220327784
102032957840
11953608351
12488a00294
13265246744
14153dd7bc4
15bd722d2a
hex792c7990

2032957840 has 20 divisors (see below), whose sum is σ = 4726627164. Its totient is φ = 813183104.

The previous prime is 2032957837. The next prime is 2032957841. The reversal of 2032957840 is 487592302.

2032957840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 349989264 + 1682968576 = 18708^2 + 41024^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2032957793 and 2032957802.

It is not an unprimeable number, because it can be changed into a prime (2032957841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12705907 + ... + 12706066.

Almost surely, 22032957840 is an apocalyptic number.

2032957840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032957840 is an abundant number, since it is smaller than the sum of its proper divisors (2693669324).

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

2032957840 is a wasteful number, since it uses less digits than its factorization.

2032957840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25411986 (or 25411980 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 2032957840 is about 45088.3337461033. Note that the first 3 decimals coincide. The cubic root of 2032957840 is about 1266.8040915841.

The spelling of 2032957840 in words is "two billion, thirty-two million, nine hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25411973 50823946 101647892 127059865 203295784 254119730 406591568 508239460 1016478920 2032957840