Search a number
-
+
36142001 = 7311511103
BaseRepresentation
bin1000100111011…
…1101110110001
32112000012111122
42021313232301
533223021001
63330352025
7616126160
oct211675661
975005448
1036142001
1119446025
121012b615
1376457cc
144b2b3d7
15328db1b
hex2277bb1

36142001 has 16 divisors (see below), whose sum is σ = 42958848. Its totient is φ = 29754000.

The previous prime is 36141997. The next prime is 36142003. The reversal of 36142001 is 10024163.

It is a cyclic number.

It is not a de Polignac number, because 36142001 - 22 = 36141997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36142003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32216 + ... + 33318.

It is an arithmetic number, because the mean of its divisors is an integer number (2684928).

Almost surely, 236142001 is an apocalyptic number.

36142001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36142001 is a deficient number, since it is larger than the sum of its proper divisors (6816847).

36142001 is a wasteful number, since it uses less digits than its factorization.

36142001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 36142001 is about 6011.8217704786. The cubic root of 36142001 is about 330.6263006561.

Adding to 36142001 its reverse (10024163), we get a palindrome (46166164).

The spelling of 36142001 in words is "thirty-six million, one hundred forty-two thousand, one".

Divisors: 1 7 31 151 217 1057 1103 4681 7721 32767 34193 166553 239351 1165871 5163143 36142001