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1020000 = 2535417
BaseRepresentation
bin11111001000001100000
31220211011210
43321001200
5230120000
633510120
711445522
oct3710140
91824153
101020000
11637383
12412340
13299367
141c7a12
15152350
hexf9060

1020000 has 120 divisors (see below), whose sum is σ = 3542616. Its totient is φ = 256000.

The previous prime is 1019971. The next prime is 1020001. The reversal of 1020000 is 201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59992 + ... + 60008.

21020000 is an apocalyptic number.

1020000 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 1020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771308).

1020000 is an abundant number, since it is smaller than the sum of its proper divisors (2522616).

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

1020000 is an equidigital number, since it uses as much as digits as its factorization.

1020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 1020000 is about 1009.9504938362. The cubic root of 1020000 is about 100.6622709560.

Adding to 1020000 its reverse (201), we get a palindrome (1020201).

The spelling of 1020000 in words is "one million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 125 136 150 160 170 200 204 240 250 255 272 300 340 375 400 408 425 480 500 510 544 600 625 680 750 800 816 850 1000 1020 1200 1250 1275 1360 1500 1632 1700 1875 2000 2040 2125 2400 2500 2550 2720 3000 3400 3750 4000 4080 4250 5000 5100 6000 6375 6800 7500 8160 8500 10000 10200 10625 12000 12750 13600 15000 17000 20000 20400 21250 25500 30000 31875 34000 40800 42500 51000 60000 63750 68000 85000 102000 127500 170000 204000 255000 340000 510000 1020000