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2030820 = 22351117181
BaseRepresentation
bin111101111110011100100
310211011202120
413233303210
51004441240
6111305540
723155521
oct7576344
93734676
102030820
111167870
1281b2b0
1356148c
143ac148
152a1ad0
hex1efce4

2030820 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 460800.

The previous prime is 2030789. The next prime is 2030879. The reversal of 2030820 is 280302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2030820.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11130 + ... + 11310.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22030820 is an apocalyptic number.

2030820 is a gapful number since it is divisible by the number (20) 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 2030820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2030820 is an abundant number, since it is smaller than the sum of its proper divisors (4573596).

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

2030820 is a wasteful number, since it uses less digits than its factorization.

2030820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

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

The square root of 2030820 is about 1425.0684194101. The cubic root of 2030820 is about 126.6359882613.

It can be divided in two parts, 2030 and 820, that added together give a triangular number (2850 = T75).

The spelling of 2030820 in words is "two million, thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 181 187 204 220 255 330 340 362 374 510 543 561 660 724 748 905 935 1020 1086 1122 1810 1870 1991 2172 2244 2715 2805 3077 3620 3740 3982 5430 5610 5973 6154 7964 9231 9955 10860 11220 11946 12308 15385 18462 19910 23892 29865 30770 33847 36924 39820 46155 59730 61540 67694 92310 101541 119460 135388 169235 184620 203082 338470 406164 507705 676940 1015410 2030820