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10886130 = 2335231753
BaseRepresentation
bin101001100001…
…101111110010
3202111001222000
4221201233302
510241324010
61025154430
7161346663
oct51415762
922431860
1010886130
116165a02
12378ba16
132341cc8
14163536a
15e507c0
hexa61bf2

10886130 has 64 divisors (see below), whose sum is σ = 30309120. Its totient is φ = 2775168.

The previous prime is 10886129. The next prime is 10886131. The reversal of 10886130 is 3168801.

It is an interprime number because it is at equal distance from previous prime (10886129) and next prime (10886131).

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

It is a junction number, because it is equal to n+sod(n) for n = 10886094 and 10886103.

It is not an unprimeable number, because it can be changed into a prime (10886131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5334 + ... + 7086.

It is an arithmetic number, because the mean of its divisors is an integer number (473580).

Almost surely, 210886130 is an apocalyptic number.

10886130 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 10886130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154560).

10886130 is an abundant number, since it is smaller than the sum of its proper divisors (19422990).

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

10886130 is a wasteful number, since it uses less digits than its factorization.

10886130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10886130 is about 3299.4135842601. The cubic root of 10886130 is about 221.6279377819.

The spelling of 10886130 in words is "ten million, eight hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 1753 2070 3105 3506 5259 6210 8765 10518 15777 17530 26295 31554 40319 47331 52590 78885 80638 94662 120957 157770 201595 236655 241914 362871 403190 473310 604785 725742 1088613 1209570 1814355 2177226 3628710 5443065 10886130