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671124960 = 253351129487
BaseRepresentation
bin101000000000001…
…000110111100000
31201202211200101000
4220000020313200
52333301444320
6150332312000
722426316352
oct5000106740
91652750330
10671124960
11314918130
12168912600
13a906c47c
14651bd0d2
153ddbbc90
hex28008de0

671124960 has 384 divisors, whose sum is σ = 2656281600. Its totient is φ = 156764160.

The previous prime is 671124959. The next prime is 671124977. The reversal of 671124960 is 69421176.

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

It is a congruent number.

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, 1377837 + ... + 1378323.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2671124960 is an apocalyptic number.

671124960 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 671124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328140800).

671124960 is an abundant number, since it is smaller than the sum of its proper divisors (1985156640).

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

671124960 is a wasteful number, since it uses less digits than its factorization.

671124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 671124960 is about 25906.0795953382. The cubic root of 671124960 is about 875.5234788691.

The spelling of 671124960 in words is "six hundred seventy-one million, one hundred twenty-four thousand, nine hundred sixty".