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11290860 = 22335729103
BaseRepresentation
bin101011000100…
…100011101100
3210020122011000
4223010203230
510342301420
61042000300
7164653650
oct53044354
923218130
1011290860
116411a99
123946090
1324542a9
1416dca60
15ed0690
hexac48ec

11290860 has 192 divisors, whose sum is σ = 41932800. Its totient is φ = 2467584.

The previous prime is 11290859. The next prime is 11290871. The reversal of 11290860 is 6809211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 109569 + ... + 109671.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 211290860 is an apocalyptic number.

11290860 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 11290860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

11290860 is an abundant number, since it is smaller than the sum of its proper divisors (30641940).

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

11290860 is a wasteful number, since it uses less digits than its factorization.

11290860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11290860 is about 3360.1874947687. The cubic root of 11290860 is about 224.3411839334.

The spelling of 11290860 in words is "eleven million, two hundred ninety thousand, eight hundred sixty".