Search a number
-
+
277241401 = 3161271541
BaseRepresentation
bin10000100001100…
…101111000111001
3201022200022201001
4100201211320321
51031433211101
643302125001
76604340653
oct2041457071
9638608631
10277241401
1113254a628
1278a20761
134558cb88
1428b6b6d3
1519515901
hex10865e39

277241401 has 16 divisors (see below), whose sum is σ = 292489216. Its totient is φ = 262440000.

The previous prime is 277241399. The next prime is 277241411. The reversal of 277241401 is 104142772.

It is a 3-Lehmer number, since φ(277241401) divides (277241401-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 277241401 - 21 = 277241399 is a prime.

It is a deceptive number, since it divides R277241400.

It is a self number, because there is not a number n which added to its sum of digits gives 277241401.

It is not an unprimeable number, because it can be changed into a prime (277241411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512191 + ... + 512731.

It is an arithmetic number, because the mean of its divisors is an integer number (18280576).

It is a Poulet number, since it divides 2277241400-1.

Almost surely, 2277241401 is an apocalyptic number.

It is an amenable number.

277241401 is a deficient number, since it is larger than the sum of its proper divisors (15247815).

277241401 is a wasteful number, since it uses less digits than its factorization.

277241401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 277241401 is about 16650.5675879232. The cubic root of 277241401 is about 652.0577007725.

The spelling of 277241401 in words is "two hundred seventy-seven million, two hundred forty-one thousand, four hundred one".

Divisors: 1 31 61 271 541 1891 8401 16531 16771 33001 146611 512461 1023031 4544941 8943271 277241401