Search a number
-
+
11104272 = 2432591307
BaseRepresentation
bin101010010111…
…000000010000
3202220011012100
4222113000100
510320314042
61034000400
7163245654
oct52270020
922804170
1011104272
1162a4893
123876100
1323ba39a
141690a64
15e9524c
hexa97010

11104272 has 60 divisors (see below), whose sum is σ = 31627440. Its totient is φ = 3635904.

The previous prime is 11104271. The next prime is 11104273. The reversal of 11104272 is 27240111.

It is an interprime number because it is at equal distance from previous prime (11104271) and next prime (11104273).

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

It is not an unprimeable number, because it can be changed into a prime (11104271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7843 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (527124).

Almost surely, 211104272 is an apocalyptic number.

11104272 is a gapful number since it is divisible by the number (12) 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 11104272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813720).

11104272 is an abundant number, since it is smaller than the sum of its proper divisors (20523168).

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

11104272 is a wasteful number, since it uses less digits than its factorization.

11104272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11104272 is about 3332.3073087577. The cubic root of 11104272 is about 223.0985240341.

Adding to 11104272 its reverse (27240111), we get a palindrome (38344383).

The spelling of 11104272 in words is "eleven million, one hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1307 1416 2124 2614 2832 3921 4248 5228 7842 8496 10456 11763 15684 20912 23526 31368 47052 62736 77113 94104 154226 188208 231339 308452 462678 616904 694017 925356 1233808 1388034 1850712 2776068 3701424 5552136 11104272