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671695920 = 243257279241
BaseRepresentation
bin101000000010010…
…100010000110000
31201210220200120200
4220002110100300
52333423232140
6150352435200
722434215100
oct5002242060
91653820520
10671695920
113151780a5
12168b48b00
13a920c30c
14652cb200
153de81030
hex28094430

671695920 has 360 divisors, whose sum is σ = 2668311360. Its totient is φ = 150958080.

The previous prime is 671695919. The next prime is 671695939. The reversal of 671695920 is 29596176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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, 2787000 + ... + 2787240.

It is an arithmetic number, because the mean of its divisors is an integer number (7411976).

Almost surely, 2671695920 is an apocalyptic number.

671695920 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 671695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334155680).

671695920 is an abundant number, since it is smaller than the sum of its proper divisors (1996615440).

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

671695920 is a wasteful number, since it uses less digits than its factorization.

671695920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 671695920 is about 25917.0970596631. The cubic root of 671695920 is about 875.7716925511.

The spelling of 671695920 in words is "six hundred seventy-one million, six hundred ninety-five thousand, nine hundred twenty".