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1061312 = 26723103
BaseRepresentation
bin100000011000111000000
31222220211212
410003013000
5232430222
634425252
712010130
oct4030700
91886755
101061312
1166541a
12432228
132b20c5
141d8ac0
1515e6e2
hex1031c0

1061312 has 56 divisors (see below), whose sum is σ = 2535936. Its totient is φ = 430848.

The previous prime is 1061311. The next prime is 1061317. The reversal of 1061312 is 2131601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10613122 = 2252766322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10253 + ... + 10355.

21061312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267968).

1061312 is an abundant number, since it is smaller than the sum of its proper divisors (1474624).

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

1061312 is a wasteful number, since it uses less digits than its factorization.

1061312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1061312 is about 1030.1999805863. The cubic root of 1061312 is about 102.0033319429.

Adding to 1061312 its reverse (2131601), we get a palindrome (3192913).

The spelling of 1061312 in words is "one million, sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 103 112 161 184 206 224 322 368 412 448 644 721 736 824 1288 1442 1472 1648 2369 2576 2884 3296 4738 5152 5768 6592 9476 10304 11536 16583 18952 23072 33166 37904 46144 66332 75808 132664 151616 265328 530656 1061312