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1288968 = 233431249
BaseRepresentation
bin100111010101100001000
32102111010120
410322230020
5312221333
643343240
713645632
oct4725410
92374116
101288968
1180046a
12521b20
13361905
14257a52
151a6db3
hex13ab08

1288968 has 32 divisors (see below), whose sum is σ = 3300000. Its totient is φ = 419328.

The previous prime is 1288967. The next prime is 1288981. The reversal of 1288968 is 8698821.

It is a super-2 number, since 2×12889682 = 3322877010048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1288967) 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, 408 + ... + 1656.

It is an arithmetic number, because the mean of its divisors is an integer number (103125).

21288968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650000).

1288968 is an abundant number, since it is smaller than the sum of its proper divisors (2011032).

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

1288968 is a wasteful number, since it uses less digits than its factorization.

1288968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1297 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 1288968 is about 1135.3272655935. The cubic root of 1288968 is about 108.8296866079.

The spelling of 1288968 in words is "one million, two hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1249 2498 3747 4996 7494 9992 14988 29976 53707 107414 161121 214828 322242 429656 644484 1288968