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1288296 = 233229617
BaseRepresentation
bin100111010100001101000
32102110012200
410322201220
5312211141
643340200
713643652
oct4724150
92373180
101288296
117aaa09
12521660
13361509
142576d2
151a6ab6
hex13a868

1288296 has 48 divisors (see below), whose sum is σ = 3615300. Its totient is φ = 413952.

The previous prime is 1288291. The next prime is 1288307. The reversal of 1288296 is 6928821.

It can be written as a sum of positive squares in 2 ways, for example, as 1179396 + 108900 = 1086^2 + 330^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1288296.

It is not an unprimeable number, because it can be changed into a prime (1288291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1780 + ... + 2396.

21288296 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 1288296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807650).

1288296 is an abundant number, since it is smaller than the sum of its proper divisors (2327004).

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

1288296 is a wasteful number, since it uses less digits than its factorization.

1288296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1288296 is about 1135.0312771021. The cubic root of 1288296 is about 108.8107706321.

The spelling of 1288296 in words is "one million, two hundred eighty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 617 696 1044 1234 1851 2088 2468 3702 4936 5553 7404 11106 14808 17893 22212 35786 44424 53679 71572 107358 143144 161037 214716 322074 429432 644148 1288296