Search a number
-
+
1091328 = 2837229
BaseRepresentation
bin100001010011100000000
32001110000120
410022130000
5234410303
635220240
712163500
oct4123400
92043016
101091328
11685a27
12447680
132c2974
14205a00
15168553
hex10a700

1091328 has 108 divisors (see below), whose sum is σ = 3495240. Its totient is φ = 301056.

The previous prime is 1091287. The next prime is 1091329. The reversal of 1091328 is 8231901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1091298 and 1091307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37618 + ... + 37646.

21091328 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 1091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747620).

1091328 is an abundant number, since it is smaller than the sum of its proper divisors (2403912).

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

1091328 is an equidigital number, since it uses as much as digits as its factorization.

1091328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1091328 is about 1044.6664539459. Note that the first 3 decimals coincide. The cubic root of 1091328 is about 102.9560248385.

The spelling of 1091328 in words is "one million, ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 64 84 87 96 98 112 116 128 147 168 174 192 196 203 224 232 256 294 336 348 384 392 406 448 464 588 609 672 696 768 784 812 896 928 1176 1218 1344 1392 1421 1568 1624 1792 1856 2352 2436 2688 2784 2842 3136 3248 3712 4263 4704 4872 5376 5568 5684 6272 6496 7424 8526 9408 9744 11136 11368 12544 12992 17052 18816 19488 22272 22736 25984 34104 37632 38976 45472 51968 68208 77952 90944 136416 155904 181888 272832 363776 545664 1091328