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11282130 = 2325671871
BaseRepresentation
bin101011000010…
…011011010010
3210020012011200
4223002123102
510342012010
61041452030
7164616336
oct53023322
923205150
1011282130
116406482
123941016
132450322
1416d97c6
15ecccc0
hexac26d2

11282130 has 48 divisors (see below), whose sum is σ = 29787264. Its totient is φ = 2962080.

The previous prime is 11282119. The next prime is 11282149. The reversal of 11282130 is 3128211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

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 23 ways as a sum of consecutive naturals, for example, 5095 + ... + 6965.

It is an arithmetic number, because the mean of its divisors is an integer number (620568).

Almost surely, 211282130 is an apocalyptic number.

11282130 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 11282130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893632).

11282130 is an abundant number, since it is smaller than the sum of its proper divisors (18505134).

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

11282130 is a wasteful number, since it uses less digits than its factorization.

11282130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11282130 is about 3358.8882089168. Note that the first 3 decimals coincide. The cubic root of 11282130 is about 224.2833494396.

The spelling of 11282130 in words is "eleven million, two hundred eighty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1871 2010 3015 3742 5613 6030 9355 11226 16839 18710 28065 33678 56130 84195 125357 168390 250714 376071 626785 752142 1128213 1253570 1880355 2256426 3760710 5641065 11282130