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1006380 = 223255591
BaseRepresentation
bin11110101101100101100
31220010111100
43311230230
5224201010
633323100
711361024
oct3655454
91803440
101006380
11628121
12406490
132930bb
141c2a84
1514d2c0
hexf5b2c

1006380 has 36 divisors (see below), whose sum is σ = 3053232. Its totient is φ = 268320.

The previous prime is 1006367. The next prime is 1006391. The reversal of 1006380 is 836001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2616 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (84812).

21006380 is an apocalyptic number.

1006380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006380 is an abundant number, since it is smaller than the sum of its proper divisors (2046852).

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

1006380 is a wasteful number, since it uses less digits than its factorization.

1006380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1006380 is about 1003.1849281164. The cubic root of 1006380 is about 100.2122159918.

The spelling of 1006380 in words is "one million, six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5591 11182 16773 22364 27955 33546 50319 55910 67092 83865 100638 111820 167730 201276 251595 335460 503190 1006380