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741216 = 25371103
BaseRepresentation
bin10110100111101100000
31101122202110
42310331200
5142204331
623515320
76204660
oct2647540
91348673
10741216
11466983
122b8b40
131cc4b8
141541a0
15e9946
hexb4f60

741216 has 48 divisors (see below), whose sum is σ = 2225664. Its totient is φ = 211584.

The previous prime is 741193. The next prime is 741227. The reversal of 741216 is 612147.

741216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 741192 and 741201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 741216.

It is an unprimeable number.

741216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (46368).

2741216 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 741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832).

741216 is an abundant number, since it is smaller than the sum of its proper divisors (1484448).

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

741216 is a wasteful number, since it uses less digits than its factorization.

741216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 741216 is about 860.9390222310. The cubic root of 741216 is about 90.4999338644.

The spelling of 741216 in words is "seven hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1103 2206 3309 4412 6618 7721 8824 13236 15442 17648 23163 26472 30884 35296 46326 52944 61768 92652 105888 123536 185304 247072 370608 741216