Search a number
-
+
11710896 = 2432947179
BaseRepresentation
bin101100101011…
…000110110000
3211000222022220
4230223012300
510444222041
61055001040
7201353361
oct54530660
924028286
1011710896
11667962a
123b09180
132570532
1417abb68
151064d66
hexb2b1b0

11710896 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3668224.

The previous prime is 11710883. The next prime is 11710949. The reversal of 11710896 is 69801711.

It is a super-3 number, since 3×117108963 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65335 + ... + 65513.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 211710896 is an apocalyptic number.

11710896 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 11710896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

11710896 is an abundant number, since it is smaller than the sum of its proper divisors (20429904).

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

11710896 is a wasteful number, since it uses less digits than its factorization.

11710896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 11710896 is about 3422.1186420111. The cubic root of 11710896 is about 227.0893190653.

The spelling of 11710896 in words is "eleven million, seven hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 116 141 174 179 188 232 282 348 358 376 464 537 564 696 716 752 1074 1128 1363 1392 1432 2148 2256 2726 2864 4089 4296 5191 5452 8178 8413 8592 10382 10904 15573 16356 16826 20764 21808 25239 31146 32712 33652 41528 50478 62292 65424 67304 83056 100956 124584 134608 201912 243977 249168 403824 487954 731931 975908 1463862 1951816 2927724 3903632 5855448 11710896