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1300020 = 223547461
BaseRepresentation
bin100111101011000110100
32110001021220
410331120310
5313100040
643510340
714023101
oct4753064
92401256
101300020
118087a7
125283b0
13366957
1425baa8
151aa2d0
hex13d634

1300020 has 48 divisors (see below), whose sum is σ = 3725568. Its totient is φ = 338560.

The previous prime is 1299989. The next prime is 1300021. The reversal of 1300020 is 200031.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a junction number, because it is equal to n+sod(n) for n = 1299981 and 1300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300021) by changing a digit.

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, 2590 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

21300020 is an apocalyptic number.

1300020 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 1300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862784).

1300020 is an abundant number, since it is smaller than the sum of its proper divisors (2425548).

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

1300020 is a wasteful number, since it uses less digits than its factorization.

1300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1300020 is about 1140.1841956456. The cubic root of 1300020 is about 109.1398479919.

Adding to 1300020 its reverse (200031), we get a palindrome (1500051).

The spelling of 1300020 in words is "one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 461 470 564 705 922 940 1383 1410 1844 2305 2766 2820 4610 5532 6915 9220 13830 21667 27660 43334 65001 86668 108335 130002 216670 260004 325005 433340 650010 1300020