Search a number
-
+
7270416 = 2432291741
BaseRepresentation
bin11011101111000000010000
3111200101010200
4123233000100
53330123131
6415455200
7115540356
oct33570020
914611120
107270416
11411640a
122527500
13167732a
14d737d6
159892e6
hex6ef010

7270416 has 60 divisors (see below), whose sum is σ = 21060780. Its totient is φ = 2338560.

The previous prime is 7270411. The next prime is 7270421. The reversal of 7270416 is 6140727.

It is an interprime number because it is at equal distance from previous prime (7270411) and next prime (7270421).

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 6051600 = 1104^2 + 2460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7270416.

It is not an unprimeable number, because it can be changed into a prime (7270411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3306 + ... + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (351013).

Almost surely, 27270416 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 7270416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530390).

7270416 is an abundant number, since it is smaller than the sum of its proper divisors (13790364).

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

7270416 is a wasteful number, since it uses less digits than its factorization.

7270416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1775 counting only the distinct ones).

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

The square root of 7270416 is about 2696.3708943689. The cubic root of 7270416 is about 193.7253349108.

The spelling of 7270416 in words is "seven million, two hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 1741 2088 3482 4176 5223 6964 10446 13928 15669 20892 27856 31338 41784 50489 62676 83568 100978 125352 151467 201956 250704 302934 403912 454401 605868 807824 908802 1211736 1817604 2423472 3635208 7270416