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1005340 = 225743167
BaseRepresentation
bin11110101011100011100
31220002001211
43311130130
5224132330
633314204
711355010
oct3653434
91802054
101005340
11627366
12405964
1329279b
141c2540
1514cd2a
hexf571c

1005340 has 48 divisors (see below), whose sum is σ = 2483712. Its totient is φ = 334656.

The previous prime is 1005331. The next prime is 1005349. The reversal of 1005340 is 435001.

It is an interprime number because it is at equal distance from previous prime (1005331) and next prime (1005349).

It is a self number, because there is not a number n which added to its sum of digits gives 1005340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5937 + ... + 6103.

It is an arithmetic number, because the mean of its divisors is an integer number (51744).

21005340 is an apocalyptic number.

1005340 is a gapful number since it is divisible by the number (10) 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 1005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241856).

1005340 is an abundant number, since it is smaller than the sum of its proper divisors (1478372).

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

1005340 is a wasteful number, since it uses less digits than its factorization.

1005340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1005340 is about 1002.6664450354. Note that the first 3 decimals coincide. The cubic root of 1005340 is about 100.1776840966.

The spelling of 1005340 in words is "one million, five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 167 172 215 301 334 430 602 668 835 860 1169 1204 1505 1670 2338 3010 3340 4676 5845 6020 7181 11690 14362 23380 28724 35905 50267 71810 100534 143620 201068 251335 502670 1005340