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1369120 = 25543199
BaseRepresentation
bin101001110010000100000
32120120002011
411032100200
5322302440
645202304
714431414
oct5162040
92516064
101369120
11855705
12560394
1338c23c
14278d44
151c09ea
hex14e420

1369120 has 48 divisors (see below), whose sum is σ = 3326400. Its totient is φ = 532224.

The previous prime is 1369103. The next prime is 1369133. The reversal of 1369120 is 219631.

It is a junction number, because it is equal to n+sod(n) for n = 1369091 and 1369100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6781 + ... + 6979.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

21369120 is an apocalyptic number.

1369120 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 1369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663200).

1369120 is an abundant number, since it is smaller than the sum of its proper divisors (1957280).

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

1369120 is a wasteful number, since it uses less digits than its factorization.

1369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1369120 is about 1170.0940133169. The cubic root of 1369120 is about 111.0402689161.

The spelling of 1369120 in words is "one million, three hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 199 215 344 398 430 688 796 860 995 1376 1592 1720 1990 3184 3440 3980 6368 6880 7960 8557 15920 17114 31840 34228 42785 68456 85570 136912 171140 273824 342280 684560 1369120