Search a number
-
+
2707136640 = 27355132103
BaseRepresentation
bin1010000101011011…
…1010000010000000
320222122221210100000
42201112322002000
521021011333030
61124343200000
7124041165435
oct24126720200
96878853300
102707136640
11116a12090a
12636746000
13341b14c00
141b976db8c
1510c9e4860
hexa15ba080

2707136640 has 576 divisors, whose sum is σ = 10599301440. Its totient is φ = 659902464.

The previous prime is 2707136611. The next prime is 2707136671. The reversal of 2707136640 is 466317072.

2707136640 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 1 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2707136595 and 2707136604.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 26282829 + ... + 26282931.

It is an arithmetic number, because the mean of its divisors is an integer number (18401565).

Almost surely, 22707136640 is an apocalyptic number.

2707136640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2707136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299650720).

2707136640 is an abundant number, since it is smaller than the sum of its proper divisors (7892164800).

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

2707136640 is a wasteful number, since it uses less digits than its factorization.

2707136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2707136640 is about 52030.1512586692. The cubic root of 2707136640 is about 1393.7024354792.

The spelling of 2707136640 in words is "two billion, seven hundred seven million, one hundred thirty-six thousand, six hundred forty".