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970668 = 223259457
BaseRepresentation
bin11101100111110101100
31211022111200
43230332230
5222030133
632445500
711151636
oct3547654
91738450
10970668
11603306
123a9890
1327ca7a
141b3a56
15142913
hexecfac

970668 has 36 divisors (see below), whose sum is σ = 2500680. Its totient is φ = 317376.

The previous prime is 970667. The next prime is 970687. The reversal of 970668 is 866079.

970668 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (36).

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 (970667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896 + ... + 2352.

2970668 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 970668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250340).

970668 is an abundant number, since it is smaller than the sum of its proper divisors (1530012).

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

970668 is a wasteful number, since it uses less digits than its factorization.

970668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

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

The square root of 970668 is about 985.2248474333. The cubic root of 970668 is about 99.0125481493.

The spelling of 970668 in words is "nine hundred seventy thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 457 531 708 914 1062 1371 1828 2124 2742 4113 5484 8226 16452 26963 53926 80889 107852 161778 242667 323556 485334 970668