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1083628 = 227132229
BaseRepresentation
bin100001000100011101100
32001001110101
410020203230
5234134003
635120444
712132160
oct4104354
92031411
101083628
11680167
12443124
132bc300
14202ca0
1516611d
hex1088ec

1083628 has 36 divisors (see below), whose sum is σ = 2357040. Its totient is φ = 426816.

The previous prime is 1083613. The next prime is 1083659. The reversal of 1083628 is 8263801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1083596 and 1083605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4618 + ... + 4846.

21083628 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 1083628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178520).

1083628 is an abundant number, since it is smaller than the sum of its proper divisors (1273412).

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

1083628 is a wasteful number, since it uses less digits than its factorization.

1083628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1083628 is about 1040.9745433967. The cubic root of 1083628 is about 102.7133134479.

It can be divided in two parts, 1083 and 628, that added together give a triangular number (1711 = T58).

The spelling of 1083628 in words is "one million, eighty-three thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 229 338 364 458 676 916 1183 1603 2366 2977 3206 4732 5954 6412 11908 20839 38701 41678 77402 83356 154804 270907 541814 1083628