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1030820 = 225737199
BaseRepresentation
bin11111011101010100100
31221101000112
43323222210
5230441240
634032152
711522210
oct3735244
91841015
101030820
1164451a
12418658
132a126b
141cb940
15155665
hexfbaa4

1030820 has 48 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 342144.

The previous prime is 1030817. The next prime is 1030823. The reversal of 1030820 is 280301.

It is an interprime number because it is at equal distance from previous prime (1030817) and next prime (1030823).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1030795 and 1030804.

It is not an unprimeable number, because it can be changed into a prime (1030823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5081 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (53200).

21030820 is an apocalyptic number.

1030820 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 1030820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

1030820 is an abundant number, since it is smaller than the sum of its proper divisors (1522780).

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

1030820 is a wasteful number, since it uses less digits than its factorization.

1030820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1030820 is about 1015.2930611405. The cubic root of 1030820 is about 101.0169562748.

The spelling of 1030820 in words is "one million, thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 199 259 370 398 518 740 796 995 1036 1295 1393 1990 2590 2786 3980 5180 5572 6965 7363 13930 14726 27860 29452 36815 51541 73630 103082 147260 206164 257705 515410 1030820