Search a number
-
+
11017296 = 24348501
BaseRepresentation
bin101010000001…
…110001010000
3202201201220000
4222001301100
510310023141
61032050000
7162434253
oct52016120
922651800
1011017296
116245504
123833900
132389914
14166b09a
15e795b6
hexa81c50

11017296 has 50 divisors (see below), whose sum is σ = 31891002. Its totient is φ = 3672000.

The previous prime is 11017277. The next prime is 11017313. The reversal of 11017296 is 69271011.

It can be written as a sum of positive squares in only one way, i.e., 7096896 + 3920400 = 2664^2 + 1980^2 .

It is a super-2 number, since 2×110172962 = 242761622303232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2955 + ... + 5546.

Almost surely, 211017296 is an apocalyptic number.

11017296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11017296 is an abundant number, since it is smaller than the sum of its proper divisors (20873706).

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

11017296 is an equidigital number, since it uses as much as digits as its factorization.

11017296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8521 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11017296 is about 3319.2312362955. The cubic root of 11017296 is about 222.5145115309.

The spelling of 11017296 in words is "eleven million, seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8501 17002 25503 34004 51006 68008 76509 102012 136016 153018 204024 229527 306036 408048 459054 612072 688581 918108 1224144 1377162 1836216 2754324 3672432 5508648 11017296