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1115268 = 2237111771
BaseRepresentation
bin100010000010010000100
32002122212020
410100102010
5241142033
635523140
712323340
oct4202204
92078766
101115268
116a1a10
124594b0
1330082b
14210620
151706b3
hex110484

1115268 has 96 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 268800.

The previous prime is 1115267. The next prime is 1115269. The reversal of 1115268 is 8625111.

It is an interprime number because it is at equal distance from previous prime (1115267) and next prime (1115269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115267) 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 31 ways as a sum of consecutive naturals, for example, 15673 + ... + 15743.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

21115268 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 1115268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

1115268 is an abundant number, since it is smaller than the sum of its proper divisors (2368380).

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

1115268 is a wasteful number, since it uses less digits than its factorization.

1115268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 1115268 is about 1056.0624981506. The cubic root of 1115268 is about 103.7034203255.

The spelling of 1115268 in words is "one million, one hundred fifteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 71 77 84 102 119 132 142 154 187 204 213 231 238 284 308 357 374 426 462 476 497 561 714 748 781 852 924 994 1122 1207 1309 1428 1491 1562 1988 2244 2343 2414 2618 2982 3124 3621 3927 4686 4828 5236 5467 5964 7242 7854 8449 9372 10934 13277 14484 15708 16401 16898 21868 25347 26554 32802 33796 39831 50694 53108 65604 79662 92939 101388 159324 185878 278817 371756 557634 1115268