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1289088 = 2733373
BaseRepresentation
bin100111010101110000000
32102111022000
410322232000
5312222323
643344000
713646163
oct4725600
92374260
101289088
11800569
12522000
13361998
14257ada
151a6e43
hex13ab80

1289088 has 64 divisors (see below), whose sum is σ = 3814800. Its totient is φ = 428544.

The previous prime is 1289083. The next prime is 1289111. The reversal of 1289088 is 8809821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3270 + ... + 3642.

21289088 is an apocalyptic number.

1289088 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 1289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907400).

1289088 is an abundant number, since it is smaller than the sum of its proper divisors (2525712).

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

1289088 is an equidigital number, since it uses as much as digits as its factorization.

1289088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

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

The square root of 1289088 is about 1135.3801125614. The cubic root of 1289088 is about 108.8330637688.

It can be divided in two parts, 128 and 9088, that added together give a square (9216 = 962).

The spelling of 1289088 in words is "one million, two hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 373 384 432 576 746 864 1119 1152 1492 1728 2238 2984 3357 3456 4476 5968 6714 8952 10071 11936 13428 17904 20142 23872 26856 35808 40284 47744 53712 71616 80568 107424 143232 161136 214848 322272 429696 644544 1289088