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420830200 = 23527300593
BaseRepresentation
bin11001000101010…
…101101111111000
31002022212101111201
4121011111233320
51330213031300
6105431503544
713266666130
oct3105255770
91068771451
10420830200
111a6602a5a
12b8b27bb4
136925586b
143dc67ac0
1526e2a66a
hex19155bf8

420830200 has 48 divisors (see below), whose sum is σ = 1118209680. Its totient is φ = 144284160.

The previous prime is 420830173. The next prime is 420830203. The reversal of 420830200 is 2038024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420830203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148897 + ... + 151696.

It is an arithmetic number, because the mean of its divisors is an integer number (23296035).

Almost surely, 2420830200 is an apocalyptic number.

420830200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420830200 is an abundant number, since it is smaller than the sum of its proper divisors (697379480).

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

420830200 is a wasteful number, since it uses less digits than its factorization.

420830200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300616 (or 300607 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420830200 is about 20514.1463385635. The cubic root of 420830200 is about 749.3803474412.

Adding to 420830200 its reverse (2038024), we get a palindrome (422868224).

The spelling of 420830200 in words is "four hundred twenty million, eight hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 300593 601186 1202372 1502965 2104151 2404744 3005930 4208302 6011860 7514825 8416604 10520755 12023720 15029650 16833208 21041510 30059300 42083020 52603775 60118600 84166040 105207550 210415100 420830200