Search a number
-
+
1091664 = 24337192
BaseRepresentation
bin100001010100001010000
32001110111000
410022201100
5234413124
635222000
712164460
oct4124120
92043430
101091664
11686202
12447900
132c2b72
14205ba0
151686c9
hex10a850

1091664 has 120 divisors (see below), whose sum is σ = 3779520. Its totient is φ = 295488.

The previous prime is 1091663. The next prime is 1091681. The reversal of 1091664 is 4661901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57447 + ... + 57465.

It is an arithmetic number, because the mean of its divisors is an integer number (31496).

21091664 is an apocalyptic number.

1091664 is a gapful number since it is divisible by the number (14) 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 1091664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760).

1091664 is an abundant number, since it is smaller than the sum of its proper divisors (2687856).

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

1091664 is a wasteful number, since it uses less digits than its factorization.

1091664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1091664 is about 1044.8272584499. The cubic root of 1091664 is about 102.9665898489.

The spelling of 1091664 in words is "one million, ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 361 378 399 432 456 504 513 532 684 722 756 798 912 1008 1026 1064 1083 1197 1368 1444 1512 1596 2052 2128 2166 2394 2527 2736 2888 3024 3192 3249 3591 4104 4332 4788 5054 5776 6384 6498 7182 7581 8208 8664 9576 9747 10108 12996 14364 15162 17328 19152 19494 20216 22743 25992 28728 30324 38988 40432 45486 51984 57456 60648 68229 77976 90972 121296 136458 155952 181944 272916 363888 545832 1091664