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420500000 = 2556292
BaseRepresentation
bin11001000100000…
…101001000100000
31002022020121120002
4121010011020200
51330122000000
6105420435132
713264122344
oct3104051040
91068217502
10420500000
111a63a7968
12b89a8aa8
136916b48b
143dbbd624
1526db28d5
hex19105220

420500000 has 126 divisors (see below), whose sum is σ = 1071724563. Its totient is φ = 162400000.

The previous prime is 420499987. The next prime is 420500009. The reversal of 420500000 is 5024.

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.

420500000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 11 ways, for example, as 361456144 + 59043856 = 19012^2 + 7684^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14500.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420500009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14499986 + ... + 14500014.

Almost surely, 2420500000 is an apocalyptic number.

420500000 is a gapful number since it is divisible by the number (40) 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 420500000

420500000 is an abundant number, since it is smaller than the sum of its proper divisors (651224563).

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

420500000 is an frugal number, since it uses more digits than its factorization.

420500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

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

The square root of 420500000 is about 20506.0966544099. The cubic root of 420500000 is about 749.1842983479.

Adding to 420500000 its reverse (5024), we get a palindrome (420505024).

The spelling of 420500000 in words is "four hundred twenty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 841 928 1000 1160 1250 1450 1682 2000 2320 2500 2900 3125 3364 3625 4000 4205 4640 5000 5800 6250 6728 7250 8410 10000 11600 12500 13456 14500 15625 16820 18125 20000 21025 23200 25000 26912 29000 31250 33640 36250 42050 50000 58000 62500 67280 72500 84100 90625 100000 105125 116000 125000 134560 145000 168200 181250 210250 250000 290000 336400 362500 420500 453125 500000 525625 580000 672800 725000 841000 906250 1051250 1450000 1682000 1812500 2102500 2628125 2900000 3364000 3625000 4205000 5256250 7250000 8410000 10512500 13140625 14500000 16820000 21025000 26281250 42050000 52562500 84100000 105125000 210250000 420500000