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7714116 = 223429821
BaseRepresentation
bin11101011011010101000100
3112111220210000
4131123111010
53433322431
6433201300
7122366064
oct35332504
915456700
107714116
114399803
122700230
1317a1287
14104b3a4
15a259e6
hex75b544

7714116 has 60 divisors (see below), whose sum is σ = 20887020. Its totient is φ = 2479680.

The previous prime is 7714111. The next prime is 7714117. The reversal of 7714116 is 6114177.

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 4665600 = 1746^2 + 2160^2 .

It is a super-2 number, since 2×77141162 = 119015171322912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 7714116.

It is not an unprimeable number, because it can be changed into a prime (7714111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8986 + ... + 9806.

It is an arithmetic number, because the mean of its divisors is an integer number (348117).

Almost surely, 27714116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7714116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443510).

7714116 is an abundant number, since it is smaller than the sum of its proper divisors (13172904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7714116 is a wasteful number, since it uses less digits than its factorization.

7714116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 855 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 7714116 is about 2777.4297470863. The cubic root of 7714116 is about 197.5886777976.

The spelling of 7714116 in words is "seven million, seven hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 821 1044 1566 1642 2349 2463 3132 3284 4698 4926 7389 9396 9852 14778 22167 23809 29556 44334 47618 66501 71427 88668 95236 133002 142854 214281 266004 285708 428562 642843 857124 1285686 1928529 2571372 3857058 7714116