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1318401 = 327171231
BaseRepresentation
bin101000001111000000001
32110222111200
411001320001
5314142101
644131413
714130510
oct5017001
92428450
101318401
11820597
12536b69
13372126
14264677
151b0986
hex141e01

1318401 has 24 divisors (see below), whose sum is σ = 2306304. Its totient is φ = 708480.

The previous prime is 1318379. The next prime is 1318409. The reversal of 1318401 is 1048131.

It is not a de Polignac number, because 1318401 - 210 = 1317377 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318409) 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, 456 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

21318401 is an apocalyptic number.

It is an amenable number.

1318401 is a deficient number, since it is larger than the sum of its proper divisors (987903).

1318401 is a wasteful number, since it uses less digits than its factorization.

1318401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1318401 is about 1148.2164430106. The cubic root of 1318401 is about 109.6518191832.

It can be divided in two parts, 131840 and 1, that added together give a triangular number (131841 = T513).

The spelling of 1318401 in words is "one million, three hundred eighteen thousand, four hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1231 3693 8617 11079 20927 25851 62781 77553 146489 188343 439467 1318401