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2040500 = 225371153
BaseRepresentation
bin111110010001010110100
310211200001002
413302022310
51010244000
6111422432
723225660
oct7621264
93750032
102040500
111174070
12824a18
135659c7
143b18a0
152a48d5
hex1f22b4

2040500 has 96 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 624000.

The previous prime is 2040497. The next prime is 2040539. The reversal of 2040500 is 50402.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38474 + ... + 38526.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

22040500 is an apocalyptic number.

2040500 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 2040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2040500 is an abundant number, since it is smaller than the sum of its proper divisors (3620428).

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

2040500 is a wasteful number, since it uses less digits than its factorization.

2040500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2040500 is about 1428.4607099952. The cubic root of 2040500 is about 126.8368749046.

Adding to 2040500 its reverse (50402), we get a palindrome (2090902).

It can be divided in two parts, 20 and 40500, that multiplied together give a 4-th power (810000 = 304).

The spelling of 2040500 in words is "two million, forty thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 53 55 70 77 100 106 110 125 140 154 175 212 220 250 265 275 308 350 371 385 500 530 550 583 700 742 770 875 1060 1100 1166 1325 1375 1484 1540 1750 1855 1925 2332 2650 2750 2915 3500 3710 3850 4081 5300 5500 5830 6625 7420 7700 8162 9275 9625 11660 13250 14575 16324 18550 19250 20405 26500 29150 37100 38500 40810 46375 58300 72875 81620 92750 102025 145750 185500 204050 291500 408100 510125 1020250 2040500