Search a number
-
+
2730878040 = 2335112316067
BaseRepresentation
bin1010001011000101…
…1110010001011000
321001022121222102010
42202301132101120
521043101044130
61130552105520
7124450036362
oct24261362130
97038558363
102730878040
111181567100
126426952a0
13346a08287
141bc98dd32
1510eb340b0
hexa2c5e458

2730878040 has 192 divisors, whose sum is σ = 9297146880. Its totient is φ = 640569600.

The previous prime is 2730878023. The next prime is 2730878089. The reversal of 2730878040 is 408780372.

It is a self number, because there is not a number n which added to its sum of digits gives 2730878040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447087 + ... + 453153.

It is an arithmetic number, because the mean of its divisors is an integer number (48422640).

Almost surely, 22730878040 is an apocalyptic number.

2730878040 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 2730878040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648573440).

2730878040 is an abundant number, since it is smaller than the sum of its proper divisors (6566268840).

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

2730878040 is a wasteful number, since it uses less digits than its factorization.

2730878040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2730878040 is about 52257.8036277837. The cubic root of 2730878040 is about 1397.7648074161.

The spelling of 2730878040 in words is "two billion, seven hundred thirty million, eight hundred seventy-eight thousand, forty".