Search a number
-
+
6971374080 = 293351153173
BaseRepresentation
bin1100111111000011…
…01011101000000000
3122222211212111102000
412133201223220000
5103234132432310
63111432424000
7334520462526
oct63741535000
918884774360
106971374080
112a58182590
121426848000
138713c2528
144a1c28316
152ac0624c0
hex19f86ba00

6971374080 has 640 divisors, whose sum is σ = 27682871040. Its totient is φ = 1648558080.

The previous prime is 6971374079. The next prime is 6971374139. The reversal of 6971374080 is 804731796.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40296874 + ... + 40297046.

It is an arithmetic number, because the mean of its divisors is an integer number (43254486).

Almost surely, 26971374080 is an apocalyptic number.

6971374080 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 6971374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841435520).

6971374080 is an abundant number, since it is smaller than the sum of its proper divisors (20711496960).

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

6971374080 is a wasteful number, since it uses less digits than its factorization.

6971374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6971374080 is about 83494.7548053170. The cubic root of 6971374080 is about 1910.3200289748.

The spelling of 6971374080 in words is "six billion, nine hundred seventy-one million, three hundred seventy-four thousand, eighty".