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7114077 = 322997281
BaseRepresentation
bin11011001000110101011101
3111101102200100
4123020311131
53310122302
6412251313
7114316515
oct33106535
914342610
107114077
114019a03
122470b39
131621119
14d32845
15957d1c
hex6c8d5d

7114077 has 24 divisors (see below), whose sum is σ = 10778040. Its totient is φ = 4515840.

The previous prime is 7114067. The next prime is 7114087. The reversal of 7114077 is 7704117.

It is an interprime number because it is at equal distance from previous prime (7114067) and next prime (7114087).

It can be written as a sum of positive squares in 4 ways, for example, as 1454436 + 5659641 = 1206^2 + 2379^2 .

It is not a de Polignac number, because 7114077 - 210 = 7113053 is a prime.

It is a super-2 number, since 2×71140772 = 101220183123858, which contains 22 as substring.

7114077 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7114077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7114057) 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 23 ways as a sum of consecutive naturals, for example, 25177 + ... + 25457.

It is an arithmetic number, because the mean of its divisors is an integer number (449085).

Almost surely, 27114077 is an apocalyptic number.

It is an amenable number.

7114077 is a deficient number, since it is larger than the sum of its proper divisors (3663963).

7114077 is a wasteful number, since it uses less digits than its factorization.

7114077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 7114077 is about 2667.2227128607. Note that the first 3 decimals coincide. The cubic root of 7114077 is about 192.3266736915.

It can be divided in two parts, 71140 and 77, that added together give a palindrome (71217).

The spelling of 7114077 in words is "seven million, one hundred fourteen thousand, seventy-seven".

Divisors: 1 3 9 29 87 97 261 281 291 843 873 2529 2813 8149 8439 24447 25317 27257 73341 81771 245313 790453 2371359 7114077