Search a number
-
+
6873672960 = 28355721141
BaseRepresentation
bin1100110011011001…
…11110110100000000
3122202001000202200000
412121230332310000
5103034130013320
63054022400000
7332223153600
oct63154766400
918661022600
106873672960
112a08011260
1213b9b90000
138570a520b
14492c74c00
152a36b3c90
hex199b3ed00

6873672960 has 1296 divisors, whose sum is σ = 32061137472. Its totient is φ = 1393459200.

The previous prime is 6873672947. The next prime is 6873672961. The reversal of 6873672960 is 692763786.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×68736729602 = 94494759922070323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6873672897 and 6873672906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873672961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167650540 + ... + 167650580.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532).

Almost surely, 26873672960 is an apocalyptic number.

6873672960 is a gapful number since it is divisible by the number (60) 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 6873672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030568736).

6873672960 is an abundant number, since it is smaller than the sum of its proper divisors (25187464512).

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

6873672960 is a wasteful number, since it uses less digits than its factorization.

6873672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 6873672960 is about 82907.6170203920. The cubic root of 6873672960 is about 1901.3538789921.

The spelling of 6873672960 in words is "six billion, eight hundred seventy-three million, six hundred seventy-two thousand, nine hundred sixty".