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11147130 = 2325211587
BaseRepresentation
bin101010100001…
…011101111010
3202222022222200
4222201131322
510323202010
61034531030
7163514631
oct52413572
922868880
1011147130
116324005
123896a76
132403a47
1416a2518
15ea2cc0
hexaa177a

11147130 has 48 divisors (see below), whose sum is σ = 29169504. Its totient is φ = 2953440.

The previous prime is 11147099. The next prime is 11147141. The reversal of 11147130 is 3174111.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18697 + ... + 19283.

It is an arithmetic number, because the mean of its divisors is an integer number (607698).

Almost surely, 211147130 is an apocalyptic number.

11147130 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 11147130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584752).

11147130 is an abundant number, since it is smaller than the sum of its proper divisors (18022374).

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

11147130 is a wasteful number, since it uses less digits than its factorization.

11147130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11147130 is about 3338.7317951582. The cubic root of 11147130 is about 223.3851789240.

The spelling of 11147130 in words is "eleven million, one hundred forty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 587 633 1055 1174 1266 1761 1899 2110 2935 3165 3522 3798 5283 5870 6330 8805 9495 10566 17610 18990 26415 52830 123857 247714 371571 619285 743142 1114713 1238570 1857855 2229426 3715710 5573565 11147130