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1130016 = 25379149
BaseRepresentation
bin100010011111000100000
32010102002110
410103320200
5242130031
640115320
712414336
oct4237040
92112073
101130016
11701aa8
12465b40
13307464
14215b56
15174c46
hex113e20

1130016 has 48 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 369408.

The previous prime is 1130011. The next prime is 1130023. The reversal of 1130016 is 6100311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1129983 and 1130010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130011) 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, 7510 + ... + 7658.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

21130016 is an apocalyptic number.

1130016 is a gapful number since it is divisible by the number (16) 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 1130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1130016 is an abundant number, since it is smaller than the sum of its proper divisors (1893984).

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

1130016 is a wasteful number, since it uses less digits than its factorization.

1130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1130016 is about 1063.0221070138. The cubic root of 1130016 is about 104.1585353297.

Adding to 1130016 its reverse (6100311), we get a palindrome (7230327).

The spelling of 1130016 in words is "one million, one hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 149 158 237 298 316 447 474 596 632 894 948 1192 1264 1788 1896 2384 2528 3576 3792 4768 7152 7584 11771 14304 23542 35313 47084 70626 94168 141252 188336 282504 376672 565008 1130016