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1306137 = 3737412
BaseRepresentation
bin100111110111000011001
32110100200110
410332320121
5313244022
643554533
714046660
oct4767031
92410613
101306137
11812358
1252ba49
13369681
1425ddd7
151ac00c
hex13ee19

1306137 has 24 divisors (see below), whose sum is σ = 2095168. Its totient is φ = 708480.

The previous prime is 1306133. The next prime is 1306139. The reversal of 1306137 is 7316031.

It is not a de Polignac number, because 1306137 - 22 = 1306133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31837 + ... + 31877.

21306137 is an apocalyptic number.

It is an amenable number.

1306137 is a deficient number, since it is larger than the sum of its proper divisors (789031).

1306137 is an equidigital number, since it uses as much as digits as its factorization.

1306137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1306137 is about 1142.8635089108. The cubic root of 1306137 is about 109.3107592283.

The spelling of 1306137 in words is "one million, three hundred six thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 37 41 111 123 259 287 777 861 1517 1681 4551 5043 10619 11767 31857 35301 62197 186591 435379 1306137