Search a number
-
+
1320880 = 245111979
BaseRepresentation
bin101000010011110110000
32111002220111
411002132300
5314232010
644151104
714140651
oct5023660
92432814
101320880
11822440
12538494
133732b2
14265528
151b158a
hex1427b0

1320880 has 80 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 449280.

The previous prime is 1320871. The next prime is 1320881. The reversal of 1320880 is 880231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16681 + ... + 16759.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

21320880 is an apocalyptic number.

1320880 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 1320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1320880 is an abundant number, since it is smaller than the sum of its proper divisors (2250320).

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

1320880 is a wasteful number, since it uses less digits than its factorization.

1320880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

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

The square root of 1320880 is about 1149.2954363435. The cubic root of 1320880 is about 109.7205025516.

The spelling of 1320880 in words is "one million, three hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 79 80 88 95 110 152 158 176 190 209 220 304 316 380 395 418 440 632 760 790 836 869 880 1045 1264 1501 1520 1580 1672 1738 2090 3002 3160 3344 3476 4180 4345 6004 6320 6952 7505 8360 8690 12008 13904 15010 16511 16720 17380 24016 30020 33022 34760 60040 66044 69520 82555 120080 132088 165110 264176 330220 660440 1320880