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1314105 = 351323293
BaseRepresentation
bin101000000110100111001
32110202121120
411000310321
5314022410
644055453
714112132
oct5006471
92422546
101314105
11818341
12534589
133701a0
14262c89
151ae570
hex140d39

1314105 has 32 divisors (see below), whose sum is σ = 2370816. Its totient is φ = 616704.

The previous prime is 1314101. The next prime is 1314109. The reversal of 1314105 is 5014131.

It is an interprime number because it is at equal distance from previous prime (1314101) and next prime (1314109).

It is not a de Polignac number, because 1314105 - 22 = 1314101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4339 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

It is the magic constant of a 138 × 138 magic square.

21314105 is an apocalyptic number.

1314105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314105 is a deficient number, since it is larger than the sum of its proper divisors (1056711).

1314105 is a wasteful number, since it uses less digits than its factorization.

1314105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1314105 is about 1146.3441891509. The cubic root of 1314105 is about 109.5325897033.

Adding to 1314105 its reverse (5014131), we get a palindrome (6328236).

The spelling of 1314105 in words is "one million, three hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 13 15 23 39 65 69 115 195 293 299 345 879 897 1465 1495 3809 4395 4485 6739 11427 19045 20217 33695 57135 87607 101085 262821 438035 1314105