Search a number
-
+
11756668 = 2273111941
BaseRepresentation
bin101100110110…
…010001111100
3211010022010011
4230312101330
511002203133
61055553004
7201634000
oct54662174
924108104
1011756668
1166aaa60
123b2b764
132588311
1417c0700
1510736cd
hexb3647c

11756668 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 4233600.

The previous prime is 11756663. The next prime is 11756681. The reversal of 11756668 is 86665711.

Its product of digits (60480) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11756668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11756663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286728 + ... + 286768.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 211756668 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 11756668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

11756668 is an abundant number, since it is smaller than the sum of its proper divisors (16467332).

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

11756668 is a wasteful number, since it uses less digits than its factorization.

11756668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 11756668 is about 3428.7997900140. The cubic root of 11756668 is about 227.3847937403.

The spelling of 11756668 in words is "eleven million, seven hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 41 44 49 76 77 82 98 133 154 164 196 209 266 287 308 343 418 451 532 539 574 686 779 836 902 931 1078 1148 1372 1463 1558 1804 1862 2009 2156 2926 3116 3157 3724 3773 4018 5453 5852 6314 6517 7546 8036 8569 10241 10906 12628 13034 14063 15092 17138 20482 21812 22099 26068 28126 34276 38171 40964 44198 56252 59983 71687 76342 88396 119966 143374 152684 154693 239932 267197 286748 309386 419881 534394 618772 839762 1068788 1679524 2939167 5878334 11756668