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1018424 = 231171163
BaseRepresentation
bin11111000101000111000
31220202000102
43320220320
5230042144
633454532
711441111
oct3705070
91822012
101018424
11636180
12411448
13298724
141c7208
15151b4e
hexf8a38

1018424 has 32 divisors (see below), whose sum is σ = 2125440. Its totient is φ = 453600.

The previous prime is 1018421. The next prime is 1018429. The reversal of 1018424 is 4248101.

1018424 = 832 + 842 + ... + 1532.

1018424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1018396 and 1018405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6167 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (66420).

21018424 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 1018424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062720).

1018424 is an abundant number, since it is smaller than the sum of its proper divisors (1107016).

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

1018424 is a wasteful number, since it uses less digits than its factorization.

1018424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1018424 is about 1009.1699559539. The cubic root of 1018424 is about 100.6103998724.

The spelling of 1018424 in words is "one million, eighteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 163 284 326 568 652 781 1304 1562 1793 3124 3586 6248 7172 11573 14344 23146 46292 92584 127303 254606 509212 1018424