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11281830 = 2357311733
BaseRepresentation
bin101011000010…
…010110100110
3210020011202120
4223002112212
510342004310
61041450410
7164615430
oct53022646
923204676
1011281830
11640622a
123940a06
132450151
1416d9650
15eccb70
hexac25a6

11281830 has 64 divisors (see below), whose sum is σ = 31961088. Its totient is φ = 2494080.

The previous prime is 11281819. The next prime is 11281843. The reversal of 11281830 is 3818211.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11281830.

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 31 ways as a sum of consecutive naturals, for example, 5644 + ... + 7376.

It is an arithmetic number, because the mean of its divisors is an integer number (499392).

Almost surely, 211281830 is an apocalyptic number.

11281830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11281830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980544).

11281830 is an abundant number, since it is smaller than the sum of its proper divisors (20679258).

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

11281830 is a wasteful number, since it uses less digits than its factorization.

11281830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11281830 is about 3358.8435509860. The cubic root of 11281830 is about 224.2813614698.

The spelling of 11281830 in words is "eleven million, two hundred eighty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 1733 2170 3255 3466 5199 6510 8665 10398 12131 17330 24262 25995 36393 51990 53723 60655 72786 107446 121310 161169 181965 268615 322338 363930 376061 537230 752122 805845 1128183 1611690 1880305 2256366 3760610 5640915 11281830