Search a number
-
+
162540001 = 133729133
BaseRepresentation
bin10011011000000…
…10100111100001
3102022211212222001
421230002213201
5313102240001
624043444001
74012365361
oct1154024741
9368755861
10162540001
1183827788
1246526601
132789c920
14178309a1
15e40a001
hex9b029e1

162540001 has 12 divisors (see below), whose sum is σ = 179921532. Its totient is φ = 145965888.

The previous prime is 162539989. The next prime is 162540019. The reversal of 162540001 is 100045261.

It can be written as a sum of positive squares in 6 ways, for example, as 27050401 + 135489600 = 5201^2 + 11640^2 .

It is not a de Polignac number, because 162540001 - 219 = 162015713 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162540071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13231 + ... + 22363.

It is an arithmetic number, because the mean of its divisors is an integer number (14993461).

Almost surely, 2162540001 is an apocalyptic number.

It is an amenable number.

162540001 is a deficient number, since it is larger than the sum of its proper divisors (17381531).

162540001 is an equidigital number, since it uses as much as digits as its factorization.

162540001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 162540001 is about 12749.1176557439. The cubic root of 162540001 is about 545.7412140690.

Adding to 162540001 its reverse (100045261), we get a palindrome (262585262).

The spelling of 162540001 in words is "one hundred sixty-two million, five hundred forty thousand, one".

Divisors: 1 13 37 481 1369 9133 17797 118729 337921 4392973 12503077 162540001