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1317393 = 327111901
BaseRepresentation
bin101000001101000010001
32110221010100
411001220101
5314124033
644123013
714124540
oct5015021
92427110
101317393
1181a860
12536469
1337182c
14264157
151b0513
hex141a11

1317393 has 24 divisors (see below), whose sum is σ = 2373696. Its totient is φ = 684000.

The previous prime is 1317377. The next prime is 1317397. The reversal of 1317393 is 3937131.

It is not a de Polignac number, because 1317393 - 24 = 1317377 is a prime.

It is a nude number because it is divisible by every one of its digits.

1317393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1317397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (98904).

21317393 is an apocalyptic number.

It is an amenable number.

1317393 is a deficient number, since it is larger than the sum of its proper divisors (1056303).

1317393 is a wasteful number, since it uses less digits than its factorization.

1317393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1922 counting only the distinct ones).

The product of its digits is 1701, while the sum is 27.

The square root of 1317393 is about 1147.7774174464. Note that the first 3 decimals coincide. The cubic root of 1317393 is about 109.6238668342.

The spelling of 1317393 in words is "one million, three hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1901 5703 13307 17109 20911 39921 62733 119763 146377 188199 439131 1317393