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2064746960 = 24525809337
BaseRepresentation
bin111101100010001…
…1000100111010000
312022220012000100122
41323010120213100
513212033400320
6540514405412
7102111026303
oct17304304720
95286160318
102064746960
1196a54aa51
12497590868
1326b9c6b83
14158310b3a
15c1401d25
hex7b1189d0

2064746960 has 20 divisors (see below), whose sum is σ = 4800536868. Its totient is φ = 825898752.

The previous prime is 2064746933. The next prime is 2064746969. The reversal of 2064746960 is 696474602.

It can be written as a sum of positive squares in 2 ways, for example, as 919059856 + 1145687104 = 30316^2 + 33848^2 .

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

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064746969) 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, 12904589 + ... + 12904748.

Almost surely, 22064746960 is an apocalyptic number.

2064746960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064746960 is an abundant number, since it is smaller than the sum of its proper divisors (2735789908).

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

2064746960 is a wasteful number, since it uses less digits than its factorization.

2064746960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25809350 (or 25809344 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 2064746960 is about 45439.4867928765. The cubic root of 2064746960 is about 1273.3729259243.

The spelling of 2064746960 in words is "two billion, sixty-four million, seven hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25809337 51618674 103237348 129046685 206474696 258093370 412949392 516186740 1032373480 2064746960