Search a number
-
+
11372427 = 33112592
BaseRepresentation
bin101011011000…
…011110001011
3210101210001000
4223120132023
510402404202
61043430043
7165443523
oct53303613
923353030
1011372427
116468300
123985323
132482461
141720683
15ee991c
hexad878b

11372427 has 36 divisors (see below), whose sum is σ = 18838120. Its totient is φ = 6775560.

The previous prime is 11372401. The next prime is 11372429. The reversal of 11372427 is 72427311.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 11372427 - 27 = 11372299 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11372427.

It is not an unprimeable number, because it can be changed into a prime (11372429) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 192724 + ... + 192782.

Almost surely, 211372427 is an apocalyptic number.

11372427 is a deficient number, since it is larger than the sum of its proper divisors (7465693).

11372427 is an equidigital number, since it uses as much as digits as its factorization.

11372427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 73 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 11372427 is about 3372.3029223366. The cubic root of 11372427 is about 224.8801139106.

Multiplying 11372427 by its sum of digits (27), we get a square (307055529 = 175232).

11372427 divided by its sum of digits (27) gives a square (421201 = 6492).

Multiplying 11372427 by its product of digits (2352), we get a square (26747948304 = 1635482).

Adding to 11372427 its reverse (72427311), we get a palindrome (83799738).

The spelling of 11372427 in words is "eleven million, three hundred seventy-two thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 27 33 59 99 121 177 297 363 531 649 1089 1593 1947 3267 3481 5841 7139 10443 17523 21417 31329 38291 64251 93987 114873 192753 344619 421201 1033857 1263603 3790809 11372427