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1671230880 = 253451119617
BaseRepresentation
bin110001110011100…
…1111010110100000
311022110201022210000
41203213033112200
511410313342010
6433500140000
756262141144
oct14347172640
94273638700
101671230880
11788403550
123a7837600
13208315917
1411bd57224
159babe7c0
hex639cf5a0

1671230880 has 480 divisors, whose sum is σ = 6783860160. Its totient is φ = 383201280.

The previous prime is 1671230857. The next prime is 1671230881. The reversal of 1671230880 is 880321761.

1671230880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1671230881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2708332 + ... + 2708948.

It is an arithmetic number, because the mean of its divisors is an integer number (14133042).

Almost surely, 21671230880 is an apocalyptic number.

1671230880 is a gapful number since it is divisible by the number (10) 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 1671230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391930080).

1671230880 is an abundant number, since it is smaller than the sum of its proper divisors (5112629280).

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

1671230880 is a wasteful number, since it uses less digits than its factorization.

1671230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1671230880 is about 40880.6907965117. The cubic root of 1671230880 is about 1186.7124096887.

The spelling of 1671230880 in words is "one billion, six hundred seventy-one million, two hundred thirty thousand, eight hundred eighty".