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671623680 = 2935713312
BaseRepresentation
bin101000000010000…
…010101000000000
31201210210000111010
4220002002220000
52333413424210
6150351120520
722433464350
oct5002025000
91653700433
10671623680
113151288a2
12168b13140
13a91b5480
14652acb60
153de69920
hex28082a00

671623680 has 480 divisors, whose sum is σ = 2730575232. Its totient is φ = 137134080.

The previous prime is 671623663. The next prime is 671623721. The reversal of 671623680 is 86326176.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21665265 + ... + 21665295.

Almost surely, 2671623680 is an apocalyptic number.

671623680 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 671623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365287616).

671623680 is an abundant number, since it is smaller than the sum of its proper divisors (2058951552).

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

671623680 is a wasteful number, since it uses less digits than its factorization.

671623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 671623680 is about 25915.7033475845. The cubic root of 671623680 is about 875.7402953998.

The spelling of 671623680 in words is "six hundred seventy-one million, six hundred twenty-three thousand, six hundred eighty".