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1126280 = 23537761
BaseRepresentation
bin100010010111110001000
32010012222002
410102332020
5242020110
640050132
712400421
oct4227610
92105862
101126280
116aa211
12463948
1330584c
14214648
15173aa5
hex112f88

1126280 has 32 divisors (see below), whose sum is σ = 2606040. Its totient is φ = 437760.

The previous prime is 1126259. The next prime is 1126283. The reversal of 1126280 is 826211.

1126280 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 763876 + 362404 = 874^2 + 602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126283) 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, 1100 + ... + 1860.

21126280 is an apocalyptic number.

1126280 is a gapful number since it is divisible by the number (10) 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 1126280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303020).

1126280 is an abundant number, since it is smaller than the sum of its proper divisors (1479760).

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

1126280 is a wasteful number, since it uses less digits than its factorization.

1126280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1126280 is about 1061.2633980309. The cubic root of 1126280 is about 104.0436207548.

The spelling of 1126280 in words is "one million, one hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 761 1480 1522 3044 3805 6088 7610 15220 28157 30440 56314 112628 140785 225256 281570 563140 1126280