Search a number
-
+
11330976 = 2531753131
BaseRepresentation
bin101011001110…
…010110100000
3210022200011210
4223032112200
510400042401
61042510120
7165211626
oct53162640
923280153
1011330976
11643a148
123965340
132469627
14170d516
15edc4d6
hexace5a0

11330976 has 96 divisors (see below), whose sum is σ = 32332608. Its totient is φ = 3461120.

The previous prime is 11330953. The next prime is 11331007. The reversal of 11330976 is 67903311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×113309762 = 256782034225152, which contains 22 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, 86431 + ... + 86561.

It is an arithmetic number, because the mean of its divisors is an integer number (336798).

Almost surely, 211330976 is an apocalyptic number.

11330976 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 11330976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166304).

11330976 is an abundant number, since it is smaller than the sum of its proper divisors (21001632).

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

11330976 is a wasteful number, since it uses less digits than its factorization.

11330976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 11330976 is about 3366.1515117416. The cubic root of 11330976 is about 224.6065618121.

The spelling of 11330976 in words is "eleven million, three hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 131 136 159 204 212 262 272 318 393 408 424 524 544 636 786 816 848 901 1048 1272 1572 1632 1696 1802 2096 2227 2544 2703 3144 3604 4192 4454 5088 5406 6288 6681 6943 7208 8908 10812 12576 13362 13886 14416 17816 20829 21624 26724 27772 28832 35632 41658 43248 53448 55544 71264 83316 86496 106896 111088 118031 166632 213792 222176 236062 333264 354093 472124 666528 708186 944248 1416372 1888496 2832744 3776992 5665488 11330976