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1272400317 = 32294875097
BaseRepresentation
bin100101111010111…
…0100100110111101
310021200020122002200
41023311310212331
510101213302232
6330131542113
743350136626
oct11365644675
93250218080
101272400317
115a3267211
122b615a939
131737c36c6
14c0db8a4d
1576a8c77c
hex4bd749bd

1272400317 has 12 divisors (see below), whose sum is σ = 1901288220. Its totient is φ = 819016128.

The previous prime is 1272400291. The next prime is 1272400333. The reversal of 1272400317 is 7130042721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 939483801 + 332916516 = 30651^2 + 18246^2 .

It is not a de Polignac number, because 1272400317 - 26 = 1272400253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272400357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2437288 + ... + 2437809.

It is an arithmetic number, because the mean of its divisors is an integer number (158440685).

Almost surely, 21272400317 is an apocalyptic number.

It is an amenable number.

1272400317 is a deficient number, since it is larger than the sum of its proper divisors (628887903).

1272400317 is a wasteful number, since it uses less digits than its factorization.

1272400317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875132 (or 4875129 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1272400317 is about 35670.7207244261. The cubic root of 1272400317 is about 1083.6139555366.

The spelling of 1272400317 in words is "one billion, two hundred seventy-two million, four hundred thousand, three hundred seventeen".

Divisors: 1 3 9 29 87 261 4875097 14625291 43875873 141377813 424133439 1272400317