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1319310 = 2325107137
BaseRepresentation
bin101000010000110001110
32111000202100
411002012032
5314204220
644135530
714133246
oct5020616
92430670
101319310
11821243
125375a6
13372675
14264b26
151b0d90
hex14218e

1319310 has 48 divisors (see below), whose sum is σ = 3487536. Its totient is φ = 345984.

The previous prime is 1319293. The next prime is 1319321. The reversal of 1319310 is 139131.

It is a super-2 number, since 2×13193102 = 3481157752200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9562 + ... + 9698.

It is an arithmetic number, because the mean of its divisors is an integer number (72657).

21319310 is an apocalyptic number.

1319310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743768).

1319310 is an abundant number, since it is smaller than the sum of its proper divisors (2168226).

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

1319310 is a wasteful number, since it uses less digits than its factorization.

1319310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 1319310 is about 1148.6122060992. The cubic root of 1319310 is about 109.6770139975.

It can be divided in two parts, 13193 and 10, that added together give a triangular number (13203 = T162).

The spelling of 1319310 in words is "one million, three hundred nineteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 137 214 274 321 411 535 642 685 822 963 1070 1233 1370 1605 1926 2055 2466 3210 4110 4815 6165 9630 12330 14659 29318 43977 73295 87954 131931 146590 219885 263862 439770 659655 1319310