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1289808 = 243213253
BaseRepresentation
bin100111010111001010000
32102112021200
410322321100
5312233213
643351200
713651242
oct4727120
92375250
101289808
11801063
12522500
13362100
14258092
151a7273
hex13ae50

1289808 has 90 divisors (see below), whose sum is σ = 3982446. Its totient is φ = 389376.

The previous prime is 1289803. The next prime is 1289831. The reversal of 1289808 is 8089821.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 1272384 = 132^2 + 1128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24310 + ... + 24362.

21289808 is an apocalyptic number.

1289808 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 1289808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991223).

1289808 is an abundant number, since it is smaller than the sum of its proper divisors (2692638).

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

1289808 is a wasteful number, since it uses less digits than its factorization.

1289808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1289808 is about 1135.6971427278. The cubic root of 1289808 is about 108.8533223345.

The spelling of 1289808 in words is "one million, two hundred eighty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 169 208 212 234 312 318 338 424 468 477 507 624 636 676 689 848 936 954 1014 1272 1352 1378 1521 1872 1908 2028 2067 2544 2704 2756 3042 3816 4056 4134 5512 6084 6201 7632 8112 8268 8957 11024 12168 12402 16536 17914 24336 24804 26871 33072 35828 49608 53742 71656 80613 99216 107484 143312 161226 214968 322452 429936 644904 1289808