Search a number
-
+
1349010 = 2325131153
BaseRepresentation
bin101001001010110010010
32112112111100
411021112102
5321132020
644525230
714315655
oct5112622
92475440
101349010
11841593
12550816
13383040
1427189c
151b9a90
hex149592

1349010 has 48 divisors (see below), whose sum is σ = 3780504. Its totient is φ = 331776.

The previous prime is 1349003. The next prime is 1349017. The reversal of 1349010 is 109431.

It is an interprime number because it is at equal distance from previous prime (1349003) and next prime (1349017).

It can be written as a sum of positive squares in 4 ways, for example, as 1034289 + 314721 = 1017^2 + 561^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1349017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594 + ... + 1746.

21349010 is an apocalyptic number.

1349010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890252).

1349010 is an abundant number, since it is smaller than the sum of its proper divisors (2431494).

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

1349010 is a wasteful number, since it uses less digits than its factorization.

1349010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1349010 is about 1161.4688975603. The cubic root of 1349010 is about 110.4939221216.

The spelling of 1349010 in words is "one million, three hundred forty-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1153 1170 2306 3459 5765 6918 10377 11530 14989 17295 20754 29978 34590 44967 51885 74945 89934 103770 134901 149890 224835 269802 449670 674505 1349010