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1006620 = 223519883
BaseRepresentation
bin11110101110000011100
31220010211020
43311300130
5224202440
633324140
711361516
oct3656034
91803736
101006620
1162831a
12406650
13293244
141c2bb6
1514d3d0
hexf5c1c

1006620 has 48 divisors (see below), whose sum is σ = 2970240. Its totient is φ = 254016.

The previous prime is 1006613. The next prime is 1006633. The reversal of 1006620 is 266001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1006620.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 699 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (61880).

21006620 is an apocalyptic number.

1006620 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 1006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485120).

1006620 is an abundant number, since it is smaller than the sum of its proper divisors (1963620).

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

1006620 is a wasteful number, since it uses less digits than its factorization.

1006620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1006620 is about 1003.3045400077. The cubic root of 1006620 is about 100.2201815119.

The spelling of 1006620 in words is "one million, six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 883 1140 1766 2649 3532 4415 5298 8830 10596 13245 16777 17660 26490 33554 50331 52980 67108 83885 100662 167770 201324 251655 335540 503310 1006620