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671968 = 25112383
BaseRepresentation
bin10100100000011100000
31021010202201
42210003200
5133000333
622222544
75466043
oct2440340
91233681
10671968
11419950
12284a54
131a6b1b
14136c5a
15d417d
hexa40e0

671968 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 288640.

The previous prime is 671947. The next prime is 671969. The reversal of 671968 is 869176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671969) by changing a digit.

671968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8055 + ... + 8137.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2671968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

671968 is an abundant number, since it is smaller than the sum of its proper divisors (852128).

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

671968 is a wasteful number, since it uses less digits than its factorization.

671968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 671968 is about 819.7365430429. The cubic root of 671968 is about 87.5889924522.

The spelling of 671968 in words is "six hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 83 88 92 166 176 184 253 332 352 368 506 664 736 913 1012 1328 1826 1909 2024 2656 3652 3818 4048 7304 7636 8096 14608 15272 20999 29216 30544 41998 61088 83996 167992 335984 671968