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1379168 = 25747131
BaseRepresentation
bin101010000101101100000
32121001212022
411100231200
5323113133
645321012
714502620
oct5205540
92531768
101379168
1186220a
12566168
1339399b
1427c880
151c3998
hex150b60

1379168 has 48 divisors (see below), whose sum is σ = 3193344. Its totient is φ = 574080.

The previous prime is 1379167. The next prime is 1379173. The reversal of 1379168 is 8619731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10463 + ... + 10593.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

21379168 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 1379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672).

1379168 is an abundant number, since it is smaller than the sum of its proper divisors (1814176).

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

1379168 is a wasteful number, since it uses less digits than its factorization.

1379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 1379168 is about 1174.3798363392. The cubic root of 1379168 is about 111.3112493598.

The spelling of 1379168 in words is "one million, three hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 131 188 224 262 329 376 524 658 752 917 1048 1316 1504 1834 2096 2632 3668 4192 5264 6157 7336 10528 12314 14672 24628 29344 43099 49256 86198 98512 172396 197024 344792 689584 1379168