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1117314 = 23511219
BaseRepresentation
bin100010000110010000010
32002202200000
410100302002
5241223224
635540430
712332322
oct4206202
92082600
101117314
116a3500
1245a716
13301743
14211282
151710c9
hex110c82

1117314 has 72 divisors (see below), whose sum is σ = 2904720. Its totient is φ = 320760.

The previous prime is 1117309. The next prime is 1117321. The reversal of 1117314 is 4137111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58797 + ... + 58815.

21117314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452360).

1117314 is an abundant number, since it is smaller than the sum of its proper divisors (1787406).

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

1117314 is a wasteful number, since it uses less digits than its factorization.

1117314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 1117314 is about 1057.0307469511. The cubic root of 1117314 is about 103.7667974932.

It can be divided in two parts, 1117 and 314, that added together give a triangular number (1431 = T53).

The spelling of 1117314 in words is "one million, one hundred seventeen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 121 162 171 198 209 242 243 297 342 363 418 486 513 594 627 726 891 1026 1089 1254 1539 1782 1881 2178 2299 2673 3078 3267 3762 4598 4617 5346 5643 6534 6897 9234 9801 11286 13794 16929 19602 20691 29403 33858 41382 50787 58806 62073 101574 124146 186219 372438 558657 1117314