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11162320 = 2451310733
BaseRepresentation
bin101010100101…
…001011010000
3210000002211021
4222211023100
510324143240
61035125224
7163610131
oct52451320
923002737
1011162320
116334464
1238a3814
13240a930
1416a7c88
15ea754a
hexaa52d0

11162320 has 40 divisors (see below), whose sum is σ = 27951336. Its totient is φ = 4121088.

The previous prime is 11162317. The next prime is 11162339. The reversal of 11162320 is 2326111.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 10995856 = 408^2 + 3316^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11162294 and 11162303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4327 + ... + 6406.

Almost surely, 211162320 is an apocalyptic number.

11162320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11162320 is an abundant number, since it is smaller than the sum of its proper divisors (16789016).

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

11162320 is a wasteful number, since it uses less digits than its factorization.

11162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11162320 is about 3341.0058365708. The cubic root of 11162320 is about 223.4866005677.

Adding to 11162320 its reverse (2326111), we get a palindrome (13488431).

The spelling of 11162320 in words is "eleven million, one hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10733 21466 42932 53665 85864 107330 139529 171728 214660 279058 429320 558116 697645 858640 1116232 1395290 2232464 2790580 5581160 11162320