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2080500 = 223531973
BaseRepresentation
bin111111011111011110100
310220200220120
413323323310
51013034000
6112331540
723453412
oct7737364
93820816
102080500
1111a1124
12843bb0
1357ac86
143c22b2
152b16a0
hex1fbef4

2080500 has 96 divisors (see below), whose sum is σ = 6464640. Its totient is φ = 518400.

The previous prime is 2080453. The next prime is 2080501. The reversal of 2080500 is 50802.

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 2080500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28464 + ... + 28536.

It is an arithmetic number, because the mean of its divisors is an integer number (67340).

22080500 is an apocalyptic number.

2080500 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 2080500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232320).

2080500 is an abundant number, since it is smaller than the sum of its proper divisors (4384140).

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

2080500 is a wasteful number, since it uses less digits than its factorization.

2080500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2080500 is about 1442.3938435809. The cubic root of 2080500 is about 127.6603135300.

The spelling of 2080500 in words is "two million, eighty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 73 75 76 95 100 114 125 146 150 190 219 228 250 285 292 300 365 375 380 438 475 500 570 730 750 876 950 1095 1140 1387 1425 1460 1500 1825 1900 2190 2375 2774 2850 3650 4161 4380 4750 5475 5548 5700 6935 7125 7300 8322 9125 9500 10950 13870 14250 16644 18250 20805 21900 27375 27740 28500 34675 36500 41610 54750 69350 83220 104025 109500 138700 173375 208050 346750 416100 520125 693500 1040250 2080500