Search a number
-
+
11663028 = 223513271
BaseRepresentation
bin101100011111…
…011010110100
3210221112200000
4230133122310
510441204103
61053551300
7201063666
oct54373264
923845600
1011663028
116646673
123aa5530
132554800
141798536
151055aa3
hexb1f6b4

11663028 has 108 divisors (see below), whose sum is σ = 33572448. Its totient is φ = 3538080.

The previous prime is 11663011. The next prime is 11663039. The reversal of 11663028 is 82036611.

11663028 is a `hidden beast` number, since 1 + 1 + 6 + 630 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to n+sod(n) for n = 11662992 and 11663010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164233 + ... + 164303.

It is an arithmetic number, because the mean of its divisors is an integer number (310856).

Almost surely, 211663028 is an apocalyptic number.

11663028 is a gapful number since it is divisible by the number (18) 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 11663028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786224).

11663028 is an abundant number, since it is smaller than the sum of its proper divisors (21909420).

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

11663028 is a wasteful number, since it uses less digits than its factorization.

11663028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11663028 is about 3415.1175675224. The cubic root of 11663028 is about 226.7794892008.

Adding to 11663028 its reverse (82036611), we get a palindrome (93699639).

The spelling of 11663028 in words is "eleven million, six hundred sixty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 81 108 117 142 156 162 169 213 234 243 284 324 338 351 426 468 486 507 639 676 702 852 923 972 1014 1053 1278 1404 1521 1846 1917 2028 2106 2556 2769 3042 3159 3692 3834 4212 4563 5538 5751 6084 6318 7668 8307 9126 11076 11502 11999 12636 13689 16614 17253 18252 23004 23998 24921 27378 33228 34506 35997 41067 47996 49842 54756 69012 71994 74763 82134 99684 107991 143988 149526 164268 215982 224289 299052 323973 431964 448578 647946 897156 971919 1295892 1943838 2915757 3887676 5831514 11663028