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11058880 = 26574937
BaseRepresentation
bin101010001011…
…111011000000
3202210211221011
4222023323000
510312341010
61033010304
7162666430
oct52137300
922724834
1011058880
116273778
123853994
1323a2821
14167c2c0
15e86a8a
hexa8bec0

11058880 has 56 divisors (see below), whose sum is σ = 30102048. Its totient is φ = 3790848.

The previous prime is 11058877. The next prime is 11058899. The reversal of 11058880 is 8885011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 229 + ... + 4708.

Almost surely, 211058880 is an apocalyptic number.

11058880 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 11058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051024).

11058880 is an abundant number, since it is smaller than the sum of its proper divisors (19043168).

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

11058880 is an equidigital number, since it uses as much as digits as its factorization.

11058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 31.

The square root of 11058880 is about 3325.4894376618. The cubic root of 11058880 is about 222.7941151090.

The spelling of 11058880 in words is "eleven million, fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4937 9874 19748 24685 34559 39496 49370 69118 78992 98740 138236 157984 172795 197480 276472 315968 345590 394960 552944 691180 789920 1105888 1382360 1579840 2211776 2764720 5529440 11058880