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1007020 = 22577193
BaseRepresentation
bin11110101110110101100
31220011101001
43311312230
5224211040
633330044
711362630
oct3656654
91804331
101007020
11628653
12406924
13293491
141c2dc0
1514d59a
hexf5dac

1007020 has 24 divisors (see below), whose sum is σ = 2417184. Its totient is φ = 345216.

The previous prime is 1006991. The next prime is 1007021. The reversal of 1007020 is 207001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1006988 and 1007006.

It is not an unprimeable number, because it can be changed into a prime (1007021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3457 + ... + 3736.

It is an arithmetic number, because the mean of its divisors is an integer number (100716).

21007020 is an apocalyptic number.

1007020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007020 is an abundant number, since it is smaller than the sum of its proper divisors (1410164).

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

1007020 is a wasteful number, since it uses less digits than its factorization.

1007020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 1007020 is about 1003.5038614774. The cubic root of 1007020 is about 100.2334545655.

The spelling of 1007020 in words is "one million, seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 7193 14386 28772 35965 50351 71930 100702 143860 201404 251755 503510 1007020