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2080820 = 225789167
BaseRepresentation
bin111111100000000110100
310220201100102
413330000310
51013041240
6112333232
723454350
oct7740064
93821312
102080820
1111a1395
12844218
1357b171
143c2460
152b1815
hex1fc034

2080820 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 701184.

The previous prime is 2080807. The next prime is 2080847. The reversal of 2080820 is 280802.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2080792 and 2080801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12377 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22080820 is an apocalyptic number.

2080820 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 2080820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2080820 is an abundant number, since it is smaller than the sum of its proper divisors (2999500).

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

2080820 is a wasteful number, since it uses less digits than its factorization.

2080820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2080820 is about 1442.5047660233. The cubic root of 2080820 is about 127.6668583039. Note that the first 3 decimals are identical.

The spelling of 2080820 in words is "two million, eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 167 178 334 356 445 623 668 835 890 1169 1246 1670 1780 2338 2492 3115 3340 4676 5845 6230 11690 12460 14863 23380 29726 59452 74315 104041 148630 208082 297260 416164 520205 1040410 2080820