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7113024 = 263253233
BaseRepresentation
bin11011001000100101000000
3111101101020100
4123020211000
53310104044
6412242400
7114313452
oct33104500
914341210
107113024
114019136
122470400
1316207b9
14d322d2
15957869
hex6c8940

7113024 has 84 divisors (see below), whose sum is σ = 20862036. Its totient is φ = 2316288.

The previous prime is 7113023. The next prime is 7113037. The reversal of 7113024 is 4203117.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 3873024 = 1800^2 + 1968^2 .

It is a super-2 number, since 2×71130242 = 101190220849152, which contains 22 as substring.

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 = 7112988 and 7113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7113023) 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, 30412 + ... + 30644.

Almost surely, 27113024 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 7113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431018).

7113024 is an abundant number, since it is smaller than the sum of its proper divisors (13749012).

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

7113024 is a wasteful number, since it uses less digits than its factorization.

7113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7113024 is about 2667.0253092162. The cubic root of 7113024 is about 192.3171840566.

The spelling of 7113024 in words is "seven million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 233 288 318 424 466 477 576 636 699 848 932 954 1272 1398 1696 1864 1908 2097 2544 2796 3392 3728 3816 4194 5088 5592 7456 7632 8388 10176 11184 12349 14912 15264 16776 22368 24698 30528 33552 37047 44736 49396 67104 74094 98792 111141 134208 148188 197584 222282 296376 395168 444564 592752 790336 889128 1185504 1778256 2371008 3556512 7113024