Search a number
-
+
7041024 = 21232191
BaseRepresentation
bin11010110111000000000000
3111020201110200
4122313000000
53300303044
6410525200
7113563524
oct32670000
914221420
107041024
113a7a031
122436800
1315c6ab3
14d13d84
15941369
hex6b7000

7041024 has 78 divisors (see below), whose sum is σ = 20444736. Its totient is φ = 2334720.

The previous prime is 7041011. The next prime is 7041049. The reversal of 7041024 is 4201407.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7040988 and 7041006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36769 + ... + 36959.

It is an arithmetic number, because the mean of its divisors is an integer number (262112).

Almost surely, 27041024 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 7041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10222368).

7041024 is an abundant number, since it is smaller than the sum of its proper divisors (13403712).

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

7041024 is a wasteful number, since it uses less digits than its factorization.

7041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7041024 is about 2653.4927925284. The cubic root of 7041024 is about 191.6660862826. Note that the first 3 decimals are identical.

It can be divided in two parts, 704 and 1024, that added together give a cube (1728 = 123).

The spelling of 7041024 in words is "seven million, forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 256 288 382 384 512 573 576 764 768 1024 1146 1152 1528 1536 1719 2048 2292 2304 3056 3072 3438 4096 4584 4608 6112 6144 6876 9168 9216 12224 12288 13752 18336 18432 24448 27504 36672 36864 48896 55008 73344 97792 110016 146688 195584 220032 293376 391168 440064 586752 782336 880128 1173504 1760256 2347008 3520512 7041024