Search a number
-
+
36261104 = 24111791151
BaseRepresentation
bin1000101001010…
…0110011110000
32112020020212212
42022110303300
533240323404
63333111252
7620133335
oct212246360
975206785
1036261104
1119517560
1210188528
137687a99
144b5c98c
1532b406e
hex2294cf0

36261104 has 40 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 16376000.

The previous prime is 36261077. The next prime is 36261131. The reversal of 36261104 is 40116263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36261077) and next prime (36261131).

It is a self number, because there is not a number n which added to its sum of digits gives 36261104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30929 + ... + 32079.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 236261104 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 36261104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

36261104 is an abundant number, since it is smaller than the sum of its proper divisors (40876816).

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

36261104 is a wasteful number, since it uses less digits than its factorization.

36261104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 36261104 is about 6021.7193557986. The cubic root of 36261104 is about 330.9890863894.

Adding to 36261104 its reverse (40116263), we get a palindrome (76377367).

The spelling of 36261104 in words is "thirty-six million, two hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 179 358 716 1151 1432 1969 2302 2864 3938 4604 7876 9208 12661 15752 18416 25322 31504 50644 101288 202576 206029 412058 824116 1648232 2266319 3296464 4532638 9065276 18130552 36261104