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1307106 = 23272617
BaseRepresentation
bin100111111000111100010
32110102000100
410333013202
5313311411
644003230
714052543
oct4770742
92412010
101307106
11813059
12530516
13369c48
142604ca
151ac456
hex13f1e2

1307106 has 12 divisors (see below), whose sum is σ = 2832102. Its totient is φ = 435696.

The previous prime is 1307101. The next prime is 1307107. The reversal of 1307106 is 6017031.

It can be written as a sum of positive squares in only one way, i.e., 731025 + 576081 = 855^2 + 759^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 72617 = 1307106 / (1 + 3 + 0 + 7 + 1 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (1307101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36291 + ... + 36326.

21307106 is an apocalyptic number.

1307106 is an abundant number, since it is smaller than the sum of its proper divisors (1524996).

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

1307106 is a wasteful number, since it uses less digits than its factorization.

1307106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72625 (or 72622 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1307106 is about 1143.2873654510. The cubic root of 1307106 is about 109.3377844543.

The spelling of 1307106 in words is "one million, three hundred seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 72617 145234 217851 435702 653553 1307106