Search a number
-
+
11059488 = 2532113491
BaseRepresentation
bin101010001100…
…000100100000
3202210212202200
4222030010200
510312400423
61033013200
7163001256
oct52140440
922725680
1011059488
116274180
123854200
1323a2b9b
14167c5d6
15e86d43
hexa8c120

11059488 has 72 divisors (see below), whose sum is σ = 34319376. Its totient is φ = 3350400.

The previous prime is 11059487. The next prime is 11059493. The reversal of 11059488 is 88495011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11059487) 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 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (476658).

Almost surely, 211059488 is an apocalyptic number.

11059488 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 11059488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159688).

11059488 is an abundant number, since it is smaller than the sum of its proper divisors (23259888).

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

11059488 is a wasteful number, since it uses less digits than its factorization.

11059488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11059488 is about 3325.5808515205. The cubic root of 11059488 is about 222.7981979920.

The spelling of 11059488 in words is "eleven million, fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3491 6982 10473 13964 20946 27928 31419 38401 41892 55856 62838 76802 83784 111712 115203 125676 153604 167568 230406 251352 307208 335136 345609 460812 502704 614416 691218 921624 1005408 1228832 1382436 1843248 2764872 3686496 5529744 11059488