Search a number
-
+
6940846080 = 211325722953
BaseRepresentation
bin1100111011011010…
…01110100000000000
3122220201102111212100
412131231032200000
5103203324033310
63104422230400
7334000134600
oct63555164000
918821374770
106940846080
112a41a21433
121418585400
13867c9411c
1449bb5cc00
152a9531ec0
hex19db4e800

6940846080 has 864 divisors, whose sum is σ = 29494319400. Its totient is φ = 1502871552.

The previous prime is 6940846067. The next prime is 6940846103. The reversal of 6940846080 is 806480496.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6181733376 + 759112704 = 78624^2 + 27552^2 .

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 71 ways as a sum of consecutive naturals, for example, 130959334 + ... + 130959386.

Almost surely, 26940846080 is an apocalyptic number.

6940846080 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 6940846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747159700).

6940846080 is an abundant number, since it is smaller than the sum of its proper divisors (22553473320).

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

6940846080 is a wasteful number, since it uses less digits than its factorization.

6940846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6940846080 is about 83311.7403491249. The cubic root of 6940846080 is about 1907.5274860669.

The spelling of 6940846080 in words is "six billion, nine hundred forty million, eight hundred forty-six thousand, eighty".