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2820030 = 235236167
BaseRepresentation
bin1010110000011110111110
312022021100120
422300132332
51210220110
6140235410
732653443
oct12603676
95267316
102820030
111656804
12b3bb66
13779775
145359ca
153aa870
hex2b07be

2820030 has 64 divisors (see below), whose sum is σ = 7285248. Its totient is φ = 696960.

The previous prime is 2820019. The next prime is 2820031. The reversal of 2820030 is 300282.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 2819991 and 2820009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820031) 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 31 ways as a sum of consecutive naturals, for example, 42057 + ... + 42123.

It is an arithmetic number, because the mean of its divisors is an integer number (113832).

22820030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624).

2820030 is an abundant number, since it is smaller than the sum of its proper divisors (4465218).

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

2820030 is a wasteful number, since it uses less digits than its factorization.

2820030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2820030 is about 1679.2944947209. The cubic root of 2820030 is about 141.2812654313.

The spelling of 2820030 in words is "two million, eight hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 67 69 115 122 134 138 183 201 230 305 335 345 366 402 610 670 690 915 1005 1403 1541 1830 2010 2806 3082 4087 4209 4623 7015 7705 8174 8418 9246 12261 14030 15410 20435 21045 23115 24522 40870 42090 46230 61305 94001 122610 188002 282003 470005 564006 940010 1410015 2820030