Search a number
-
+
11012680 = 2357371063
BaseRepresentation
bin101010000000…
…101001001000
3202201111120001
4222000221020
510304401210
61032012344
7162414640
oct52005110
922644501
1011012680
116241a98
1238310b4
1323877a3
141669520
15e7803a
hexa80a48

11012680 has 64 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 3670272.

The previous prime is 11012669. The next prime is 11012681. The reversal of 11012680 is 8621011.

It is not an unprimeable number, because it can be changed into a prime (11012681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9829 + ... + 10891.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 211012680 is an apocalyptic number.

11012680 is a gapful number since it is divisible by the number (10) 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 11012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).

11012680 is an abundant number, since it is smaller than the sum of its proper divisors (18098360).

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

11012680 is a wasteful number, since it uses less digits than its factorization.

11012680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11012680 is about 3318.5358217141. The cubic root of 11012680 is about 222.4834309927.

Adding to 11012680 its reverse (8621011), we get a palindrome (19633691).

The spelling of 11012680 in words is "eleven million, twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1063 1295 1480 2072 2126 2590 4252 5180 5315 7441 8504 10360 10630 14882 21260 29764 37205 39331 42520 59528 74410 78662 148820 157324 196655 275317 297640 314648 393310 550634 786620 1101268 1376585 1573240 2202536 2753170 5506340 11012680