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1009020 = 223567251
BaseRepresentation
bin11110110010101111100
31220021010010
43312111330
5224242040
633343220
711401515
oct3662574
91807103
101009020
1162a101
12407b10
1329436c
141c3a0c
1514de80
hexf657c

1009020 has 48 divisors (see below), whose sum is σ = 2878848. Its totient is φ = 264000.

The previous prime is 1009007. The next prime is 1009037. The reversal of 1009020 is 209001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1008987 and 1009005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3895 + ... + 4145.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

21009020 is an apocalyptic number.

1009020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1004×1005.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439424).

1009020 is an abundant number, since it is smaller than the sum of its proper divisors (1869828).

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

1009020 is a wasteful number, since it uses less digits than its factorization.

1009020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1009020 is about 1004.4998755600. The cubic root of 1009020 is about 100.2997671652.

The spelling of 1009020 in words is "one million, nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 251 268 335 402 502 670 753 804 1004 1005 1255 1340 1506 2010 2510 3012 3765 4020 5020 7530 15060 16817 33634 50451 67268 84085 100902 168170 201804 252255 336340 504510 1009020