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1328080 = 245131277
BaseRepresentation
bin101000100001111010000
32111110210011
411010033100
5314444310
644244304
714200645
oct5041720
92443704
101328080
11827896
12540694
13376660
14267dcc
151b378a
hex1443d0

1328080 has 40 divisors (see below), whose sum is σ = 3327912. Its totient is φ = 489984.

The previous prime is 1328077. The next prime is 1328087. The reversal of 1328080 is 808231.

It can be written as a sum of positive squares in 4 ways, for example, as 55696 + 1272384 = 236^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328087) 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, 402 + ... + 1678.

21328080 is an apocalyptic number.

1328080 is a gapful number since it is divisible by the number (10) 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 1328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663956).

1328080 is an abundant number, since it is smaller than the sum of its proper divisors (1999832).

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

1328080 is a wasteful number, since it uses less digits than its factorization.

1328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1328080 is about 1152.4235332550. The cubic root of 1328080 is about 109.9195003321.

The spelling of 1328080 in words is "one million, three hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1277 2554 5108 6385 10216 12770 16601 20432 25540 33202 51080 66404 83005 102160 132808 166010 265616 332020 664040 1328080