Search a number
-
+
681346080 = 25345192767
BaseRepresentation
bin101000100111001…
…000010000100000
31202111001222010000
4220213020100200
52343411033310
6151335340000
722612226502
oct5047102040
91674058100
10681346080
1131a669438
12170221600
13ab20a87c
14666bdd72
153ec3a4c0
hex289c8420

681346080 has 240 divisors, whose sum is σ = 2532055680. Its totient is φ = 172067328.

The previous prime is 681346079. The next prime is 681346091. The reversal of 681346080 is 80643186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 244857 + ... + 247623.

It is an arithmetic number, because the mean of its divisors is an integer number (10550232).

Almost surely, 2681346080 is an apocalyptic number.

681346080 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 681346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266027840).

681346080 is an abundant number, since it is smaller than the sum of its proper divisors (1850709600).

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

681346080 is a wasteful number, since it uses less digits than its factorization.

681346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 681346080 is about 26102.6067663749. The cubic root of 681346080 is about 879.9457955594.

The spelling of 681346080 in words is "six hundred eighty-one million, three hundred forty-six thousand, eighty".