Search a number
-
+
36140432 = 241926257
BaseRepresentation
bin1000100111011…
…1010110010000
32112000010100112
42021313112100
533222443212
63330340452
7616121456
oct211672620
975003315
1036140432
1119444929
121012a728
137644b93
144b2a9d6
15328d422
hex2277590

36140432 has 30 divisors (see below), whose sum is σ = 73913238. Its totient is φ = 17116416.

The previous prime is 36140431. The next prime is 36140437. The reversal of 36140432 is 23404163.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36048016 + 92416 = 6004^2 + 304^2 .

It is a super-2 number, since 2×361404322 = 2612261650293248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36140398 and 36140407.

It is not an unprimeable number, because it can be changed into a prime (36140431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2648 + ... + 8904.

Almost surely, 236140432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36956619).

36140432 is an abundant number, since it is smaller than the sum of its proper divisors (37772806).

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

36140432 is a wasteful number, since it uses less digits than its factorization.

36140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 36140432 is about 6011.6912761718. The cubic root of 36140432 is about 330.6215161933.

Adding to 36140432 its reverse (23404163), we get a palindrome (59544595).

The spelling of 36140432 in words is "thirty-six million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 6257 12514 25028 50056 100112 118883 237766 475532 951064 1902128 2258777 4517554 9035108 18070216 36140432