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1318356 = 223413313
BaseRepresentation
bin101000001110111010100
32110222110000
411001313110
5314141411
644131300
714130414
oct5016724
92428400
101318356
11820556
12536b30
133720c0
14264644
151b0956
hex141dd4

1318356 has 60 divisors (see below), whose sum is σ = 3723412. Its totient is φ = 404352.

The previous prime is 1318349. The next prime is 1318379. The reversal of 1318356 is 6538131.

It can be written as a sum of positive squares in 2 ways, for example, as 72900 + 1245456 = 270^2 + 1116^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4056 + ... + 4368.

21318356 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 1318356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861706).

1318356 is an abundant number, since it is smaller than the sum of its proper divisors (2405056).

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

1318356 is a wasteful number, since it uses less digits than its factorization.

1318356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1318356 is about 1148.1968472348. The cubic root of 1318356 is about 109.6505716143.

1318356 divided by its sum of digits (27) gives a triangular number (48828 = T312).

It can be divided in two parts, 131835 and 6, that added together give a triangular number (131841 = T513).

The spelling of 1318356 in words is "one million, three hundred eighteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 313 324 351 468 626 702 939 1053 1252 1404 1878 2106 2817 3756 4069 4212 5634 8138 8451 11268 12207 16276 16902 24414 25353 33804 36621 48828 50706 73242 101412 109863 146484 219726 329589 439452 659178 1318356