Search a number
-
+
1075320 = 2332529103
BaseRepresentation
bin100000110100001111000
32000122001200
410012201320
5233402240
635014200
712066021
oct4064170
92018050
101075320
116749a4
1243a360
132b85ac
141ddc48
15163930
hex106878

1075320 has 96 divisors (see below), whose sum is σ = 3650400. Its totient is φ = 274176.

The previous prime is 1075303. The next prime is 1075337. The reversal of 1075320 is 235701.

1075320 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (1075303) and next prime (1075337).

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

It is a junction number, because it is equal to n+sod(n) for n = 1075293 and 1075302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10389 + ... + 10491.

It is an arithmetic number, because the mean of its divisors is an integer number (38025).

21075320 is an apocalyptic number.

1075320 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 1075320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825200).

1075320 is an abundant number, since it is smaller than the sum of its proper divisors (2575080).

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

1075320 is a wasteful number, since it uses less digits than its factorization.

1075320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1075320 is about 1036.9763738871. The cubic root of 1075320 is about 102.4501443047.

The spelling of 1075320 in words is "one million, seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 103 116 120 145 174 180 206 232 261 290 309 348 360 412 435 515 522 580 618 696 824 870 927 1030 1044 1160 1236 1305 1545 1740 1854 2060 2088 2472 2610 2987 3090 3480 3708 4120 4635 5220 5974 6180 7416 8961 9270 10440 11948 12360 14935 17922 18540 23896 26883 29870 35844 37080 44805 53766 59740 71688 89610 107532 119480 134415 179220 215064 268830 358440 537660 1075320