Search a number
-
+
7104020 = 2257211659
BaseRepresentation
bin11011000110011000010100
3111100220212212
4123012120110
53304312040
6412132552
7114245300
oct33063024
914326785
107104020
1140123a0
122467158
131619681
14d2cd00
15954d65
hex6c6614

7104020 has 72 divisors (see below), whose sum is σ = 18960480. Its totient is φ = 2210880.

The previous prime is 7104001. The next prime is 7104023. The reversal of 7104020 is 204017.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 7103986 and 7104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7104023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10451 + ... + 11109.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 27104020 is an apocalyptic number.

7104020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480240).

7104020 is an abundant number, since it is smaller than the sum of its proper divisors (11856460).

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

7104020 is a wasteful number, since it uses less digits than its factorization.

7104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 7104020 is about 2665.3367517070. The cubic root of 7104020 is about 192.2360017495.

Adding to 7104020 its reverse (204017), we get a palindrome (7308037).

The spelling of 7104020 in words is "seven million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 659 770 980 1078 1318 1540 2156 2636 2695 3295 4613 5390 6590 7249 9226 10780 13180 14498 18452 23065 28996 32291 36245 46130 50743 64582 72490 92260 101486 129164 144980 161455 202972 253715 322910 355201 507430 645820 710402 1014860 1420804 1776005 3552010 7104020