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264132001 = 725390449
BaseRepresentation
bin11111011111001…
…01010110100001
3200102000021222201
433233211112201
51020104211001
642113133201
76355041100
oct1757452641
9612007881
10264132001
11126106311
127455a201
134294cc33
1427118037
15182c6501
hexfbe55a1

264132001 has 6 divisors (see below), whose sum is σ = 307255650. Its totient is φ = 226398816.

The previous prime is 264131983. The next prime is 264132017. The reversal of 264132001 is 100231462.

It can be written as a sum of positive squares in only one way, i.e., 136328976 + 127803025 = 11676^2 + 11305^2 .

It is not a de Polignac number, because 264132001 - 25 = 264131969 is a prime.

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 264132001.

It is not an unprimeable number, because it can be changed into a prime (264132601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2695176 + ... + 2695273.

It is an arithmetic number, because the mean of its divisors is an integer number (51209275).

Almost surely, 2264132001 is an apocalyptic number.

It is an amenable number.

264132001 is a deficient number, since it is larger than the sum of its proper divisors (43123649).

264132001 is an equidigital number, since it uses as much as digits as its factorization.

264132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390463 (or 5390456 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 264132001 is about 16252.1383516139. The cubic root of 264132001 is about 641.6137668052.

Adding to 264132001 its reverse (100231462), we get a palindrome (364363463).

The spelling of 264132001 in words is "two hundred sixty-four million, one hundred thirty-two thousand, one".

Divisors: 1 7 49 5390449 37733143 264132001