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1061320 = 235132157
BaseRepresentation
bin100000011000111001000
31222220212011
410003013020
5232430240
634425304
712010141
oct4030710
91886764
101061320
11665427
12432234
132b2100
141d8ac8
1515e6ea
hex1031c8

1061320 has 48 divisors (see below), whose sum is σ = 2602260. Its totient is φ = 389376.

The previous prime is 1061317. The next prime is 1061323. The reversal of 1061320 is 231601.

1061320 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (1061317) and next prime (1061323).

It can be written as a sum of positive squares in 6 ways, for example, as 49284 + 1012036 = 222^2 + 1006^2 .

It is a super-2 number, since 2×10613202 = 2252800284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1061320.

It is not an unprimeable number, because it can be changed into a prime (1061323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6682 + ... + 6838.

21061320 is an apocalyptic number.

1061320 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 1061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301130).

1061320 is an abundant number, since it is smaller than the sum of its proper divisors (1540940).

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

1061320 is a wasteful number, since it uses less digits than its factorization.

1061320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1061320 is about 1030.2038633203. The cubic root of 1061320 is about 102.0035882372.

Adding to 1061320 its reverse (231601), we get a palindrome (1292921).

The spelling of 1061320 in words is "one million, sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 169 260 314 338 520 628 676 785 845 1256 1352 1570 1690 2041 3140 3380 4082 6280 6760 8164 10205 16328 20410 26533 40820 53066 81640 106132 132665 212264 265330 530660 1061320