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1306953 = 32197643
BaseRepresentation
bin100111111000101001001
32110101210200
410333011021
5313310303
644002413
714052234
oct4770511
92411720
101306953
11812a2a
12530409
13369b5b
1426041b
151ac3a3
hex13f149

1306953 has 12 divisors (see below), whose sum is σ = 1987440. Its totient is φ = 825336.

The previous prime is 1306933. The next prime is 1306961. The reversal of 1306953 is 3596031.

It is not a de Polignac number, because 1306953 - 26 = 1306889 is a prime.

It is a super-2 number, since 2×13069532 = 3416252288418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3651 + ... + 3992.

It is an arithmetic number, because the mean of its divisors is an integer number (165620).

21306953 is an apocalyptic number.

It is an amenable number.

1306953 is a deficient number, since it is larger than the sum of its proper divisors (680487).

1306953 is a wasteful number, since it uses less digits than its factorization.

1306953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1306953 is about 1143.2204511817. The cubic root of 1306953 is about 109.3335182015. Note that the first 3 decimals are identical.

The spelling of 1306953 in words is "one million, three hundred six thousand, nine hundred fifty-three".

Divisors: 1 3 9 19 57 171 7643 22929 68787 145217 435651 1306953