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1980500 = 225317233
BaseRepresentation
bin111100011100001010100
310201121201212
413203201110
51001334000
6110240552
722556024
oct7434124
93647655
101980500
111132a85
127b6158
135445c2
14397a84
15291c35
hex1e3854

1980500 has 48 divisors (see below), whose sum is σ = 4599504. Its totient is φ = 742400.

The previous prime is 1980491. The next prime is 1980521. The reversal of 1980500 is 50891.

It can be written as a sum of positive squares in 8 ways, for example, as 662596 + 1317904 = 814^2 + 1148^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 8384 + ... + 8616.

It is an arithmetic number, because the mean of its divisors is an integer number (95823).

21980500 is an apocalyptic number.

1980500 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 1980500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299752).

1980500 is an abundant number, since it is smaller than the sum of its proper divisors (2619004).

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

1980500 is a wasteful number, since it uses less digits than its factorization.

1980500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 1980500 is about 1407.3023839957. The cubic root of 1980500 is about 125.5812926010.

The spelling of 1980500 in words is "one million, nine hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 233 250 340 425 466 500 850 932 1165 1700 2125 2330 3961 4250 4660 5825 7922 8500 11650 15844 19805 23300 29125 39610 58250 79220 99025 116500 198050 396100 495125 990250 1980500