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1073696 = 25132989
BaseRepresentation
bin100000110001000100000
32000112211112
410012020200
5233324241
635002452
712061211
oct4061040
92015745
101073696
11673758
12439428
132b7930
141dd408
151631eb
hex106220

1073696 has 48 divisors (see below), whose sum is σ = 2381400. Its totient is φ = 473088.

The previous prime is 1073687. The next prime is 1073711. The reversal of 1073696 is 6963701.

It can be written as a sum of positive squares in 4 ways, for example, as 583696 + 490000 = 764^2 + 700^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12020 + ... + 12108.

21073696 is an apocalyptic number.

1073696 is a gapful number since it is divisible by the number (16) 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 1073696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190700).

1073696 is an abundant number, since it is smaller than the sum of its proper divisors (1307704).

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

1073696 is a wasteful number, since it uses less digits than its factorization.

1073696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 1073696 is about 1036.1930322097. The cubic root of 1073696 is about 102.3985432735.

The spelling of 1073696 in words is "one million, seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 89 104 116 178 208 232 356 377 416 464 712 754 928 1157 1424 1508 2314 2581 2848 3016 4628 5162 6032 9256 10324 12064 18512 20648 33553 37024 41296 67106 82592 134212 268424 536848 1073696