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1115328 = 26337157
BaseRepresentation
bin100010000010011000000
32002122221110
410100103000
5241142303
635523320
712323454
oct4202300
92078843
101115328
116a1a65
12459540
13300876
14210664
15170703
hex1104c0

1115328 has 56 divisors (see below), whose sum is σ = 3050032. Its totient is φ = 359424.

The previous prime is 1115327. The next prime is 1115329. The reversal of 1115328 is 8235111.

1115328 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1115327) and next prime (1115329).

It is not an unprimeable number, because it can be changed into a prime (1115321) by changing a digit.

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, 7026 + ... + 7182.

21115328 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 1115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525016).

1115328 is an abundant number, since it is smaller than the sum of its proper divisors (1934704).

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

1115328 is a wasteful number, since it uses less digits than its factorization.

1115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 1115328 is about 1056.0909051781. The cubic root of 1115328 is about 103.7052799962.

The spelling of 1115328 in words is "one million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 157 192 222 296 314 444 471 592 628 888 942 1184 1256 1776 1884 2368 2512 3552 3768 5024 5809 7104 7536 10048 11618 15072 17427 23236 30144 34854 46472 69708 92944 139416 185888 278832 371776 557664 1115328