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1126488 = 2331117251
BaseRepresentation
bin100010011000001011000
32010020020210
410103001120
5242021423
640051120
712401136
oct4230130
92106223
101126488
116aa390
12463aa0
1330597c
14214756
15173b93
hex113058

1126488 has 64 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 320000.

The previous prime is 1126483. The next prime is 1126501. The reversal of 1126488 is 8846211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4363 + ... + 4613.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

21126488 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 1126488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960).

1126488 is an abundant number, since it is smaller than the sum of its proper divisors (2139432).

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

1126488 is a wasteful number, since it uses less digits than its factorization.

1126488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1126488 is about 1061.3613899139. The cubic root of 1126488 is about 104.0500252431.

The spelling of 1126488 in words is "one million, one hundred twenty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 251 264 374 408 502 561 748 753 1004 1122 1496 1506 2008 2244 2761 3012 4267 4488 5522 6024 8283 8534 11044 12801 16566 17068 22088 25602 33132 34136 46937 51204 66264 93874 102408 140811 187748 281622 375496 563244 1126488