Search a number
-
+
1127016 = 2332111423
BaseRepresentation
bin100010011001001101000
32010020222100
410103021220
5242031031
640053400
712402522
oct4231150
92106870
101127016
116aa820
12464260
13305c97
14214a12
15173de6
hex113268

1127016 has 48 divisors (see below), whose sum is σ = 3332160. Its totient is φ = 341280.

The previous prime is 1127011. The next prime is 1127029. The reversal of 1127016 is 6107211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1127016.

It is not an unprimeable number, because it can be changed into a prime (1127011) 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, 81 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (69420).

21127016 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 1127016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666080).

1127016 is an abundant number, since it is smaller than the sum of its proper divisors (2205144).

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

1127016 is a wasteful number, since it uses less digits than its factorization.

1127016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1127016 is about 1061.6100979173. The cubic root of 1127016 is about 104.0662792502.

The spelling of 1127016 in words is "one million, one hundred twenty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1423 2846 4269 5692 8538 11384 12807 15653 17076 25614 31306 34152 46959 51228 62612 93918 102456 125224 140877 187836 281754 375672 563508 1127016