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1005330 = 235233147
BaseRepresentation
bin11110101011100010010
31220002001110
43311130102
5224132310
633314150
711354664
oct3653422
91802043
101005330
11627357
12405956
13292791
141c2534
1514cd20
hexf5712

1005330 has 64 divisors (see below), whose sum is σ = 2654208. Its totient is φ = 242880.

The previous prime is 1005317. The next prime is 1005331. The reversal of 1005330 is 335001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21367 + ... + 21413.

It is an arithmetic number, because the mean of its divisors is an integer number (41472).

21005330 is an apocalyptic number.

1005330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327104).

1005330 is an abundant number, since it is smaller than the sum of its proper divisors (1648878).

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

1005330 is a wasteful number, since it uses less digits than its factorization.

1005330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 1005330 is about 1002.6614583198. The cubic root of 1005330 is about 100.1773519436.

The spelling of 1005330 in words is "one million, five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 47 62 69 93 94 115 138 141 155 186 230 235 282 310 345 465 470 690 705 713 930 1081 1410 1426 1457 2139 2162 2914 3243 3565 4278 4371 5405 6486 7130 7285 8742 10695 10810 14570 16215 21390 21855 32430 33511 43710 67022 100533 167555 201066 335110 502665 1005330