Search a number
-
+
11284488 = 233389587
BaseRepresentation
bin101011000011…
…000000001000
3210020022102000
4223003000020
510342100423
61041511000
7164626245
oct53030010
923208360
1011284488
116408226
123942460
132451417
1416da5cc
15ecd843
hexac3008

11284488 has 64 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3712896.

The previous prime is 11284487. The next prime is 11284489. The reversal of 11284488 is 88448211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11284487) and next prime (11284489).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11284487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18931 + ... + 19517.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 211284488 is an apocalyptic number.

11284488 is a gapful number since it is divisible by the number (18) 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 11284488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

11284488 is an abundant number, since it is smaller than the sum of its proper divisors (20467512).

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

11284488 is a wasteful number, since it uses less digits than its factorization.

11284488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 11284488 is about 3359.2391995808. The cubic root of 11284488 is about 224.2989736553.

The spelling of 11284488 in words is "eleven million, two hundred eighty-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 587 712 801 1068 1174 1602 1761 2136 2348 2403 3204 3522 4696 4806 5283 6408 7044 9612 10566 14088 15849 19224 21132 31698 42264 52243 63396 104486 126792 156729 208972 313458 417944 470187 626916 940374 1253832 1410561 1880748 2821122 3761496 5642244 11284488