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2420000 = 2554112
BaseRepresentation
bin1001001110110100100000
311112221121122
421032310200
51104420000
6123511412
726366252
oct11166440
94487548
102420000
111403200
12988568
1366966b
1446dcd2
1532c085
hex24ed20

2420000 has 90 divisors (see below), whose sum is σ = 6543999. Its totient is φ = 880000.

The previous prime is 2419993. The next prime is 2420009. The reversal of 2420000 is 242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 559504 + 1860496 = 748^2 + 1364^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1100.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2420000.

It is not an unprimeable number, because it can be changed into a prime (2420009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 219995 + ... + 220005.

22420000 is an apocalyptic number.

2420000 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 2420000

2420000 is an abundant number, since it is smaller than the sum of its proper divisors (4123999).

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

2420000 is an equidigital number, since it uses as much as digits as its factorization.

2420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2420000 is about 1555.6349186104. The cubic root of 2420000 is about 134.2574688917.

Adding to 2420000 its reverse (242), we get a palindrome (2420242).

Multiplying 2420000 by its reverse (242), we get a square (585640000 = 242002).

2420000 divided by its reverse (242) gives a 4-th power (10000 = 104).

The spelling of 2420000 in words is "two million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 625 800 880 968 1000 1100 1210 1250 1375 1760 1936 2000 2200 2420 2500 2750 3025 3872 4000 4400 4840 5000 5500 6050 6875 8800 9680 10000 11000 12100 13750 15125 19360 20000 22000 24200 27500 30250 44000 48400 55000 60500 75625 96800 110000 121000 151250 220000 242000 302500 484000 605000 1210000 2420000