Search a number
-
+
2968539840 = 26345716361
BaseRepresentation
bin1011000011110000…
…0101001011000000
321122212211110010000
42300330011023000
522034421233330
61210322040000
7133364113050
oct26074051300
97585743100
102968539840
111293732a12
126aa1a9000
1338401aa66
14202377560
1512592c560
hexb0f052c0

2968539840 has 280 divisors, whose sum is σ = 12068872992. Its totient is φ = 678481920.

The previous prime is 2968539823. The next prime is 2968539853. The reversal of 2968539840 is 489358692.

2968539840 is a `hidden beast` number, since 2 + 9 + 68 + 539 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173260 + ... + 189620.

Almost surely, 22968539840 is an apocalyptic number.

2968539840 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 2968539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034436496).

2968539840 is an abundant number, since it is smaller than the sum of its proper divisors (9100333152).

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

2968539840 is a wasteful number, since it uses less digits than its factorization.

2968539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16397 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2968539840 is about 54484.3081997009. The cubic root of 2968539840 is about 1437.1903548809.

The spelling of 2968539840 in words is "two billion, nine hundred sixty-eight million, five hundred thirty-nine thousand, eight hundred forty".