Search a number
-
+
1164016 = 24719547
BaseRepresentation
bin100011100001011110000
32012010201201
410130023300
5244222031
640540544
712615430
oct4341360
92163651
101164016
117255a7
12481754
13319a89
142242c0
1517ed61
hex11c2f0

1164016 has 40 divisors (see below), whose sum is σ = 2718080. Its totient is φ = 471744.

The previous prime is 1164001. The next prime is 1164029. The reversal of 1164016 is 6104611.

1164016 = 1752 + 1762 + ... + 2062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1163984 and 1164002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1855 + ... + 2401.

It is an arithmetic number, because the mean of its divisors is an integer number (67952).

21164016 is an apocalyptic number.

1164016 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 1164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359040).

1164016 is an abundant number, since it is smaller than the sum of its proper divisors (1554064).

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

1164016 is a wasteful number, since it uses less digits than its factorization.

1164016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1164016 is about 1078.8957317554. The cubic root of 1164016 is about 105.1928730106.

Adding to 1164016 its reverse (6104611), we get a palindrome (7268627).

The spelling of 1164016 in words is "one million, one hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 547 1064 1094 2128 2188 3829 4376 7658 8752 10393 15316 20786 30632 41572 61264 72751 83144 145502 166288 291004 582008 1164016