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1306008 = 2332111797
BaseRepresentation
bin100111110110110011000
32110100111200
410332312120
5313243013
643554200
714046414
oct4766630
92410450
101306008
11812250
1252b960
133695b2
1425dd44
151abe73
hex13ed98

1306008 has 96 divisors (see below), whose sum is σ = 4127760. Its totient is φ = 368640.

The previous prime is 1306007. The next prime is 1306027. The reversal of 1306008 is 8006031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306001) 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, 13416 + ... + 13512.

21306008 is an apocalyptic number.

1306008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880).

1306008 is an abundant number, since it is smaller than the sum of its proper divisors (2821752).

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

1306008 is a wasteful number, since it uses less digits than its factorization.

1306008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1306008 is about 1142.8070703316. The cubic root of 1306008 is about 109.3071604348.

The spelling of 1306008 in words is "one million, three hundred six thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 97 99 102 132 136 153 187 194 198 204 264 291 306 374 388 396 408 561 582 612 748 776 792 873 1067 1122 1164 1224 1496 1649 1683 1746 2134 2244 2328 3201 3298 3366 3492 4268 4488 4947 6402 6596 6732 6984 8536 9603 9894 12804 13192 13464 14841 18139 19206 19788 25608 29682 36278 38412 39576 54417 59364 72556 76824 108834 118728 145112 163251 217668 326502 435336 653004 1306008