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420202420 = 2251110118911
BaseRepresentation
bin11001000010111…
…100011110110100
31002021200111100121
4121002330132310
51330032434140
6105410221324
713261442641
oct3102743664
91067614317
10420202420
111a6214330
12b8884844
1369095bb1
143db42dc8
1526d5464a
hex190bc7b4

420202420 has 48 divisors (see below), whose sum is σ = 972228096. Its totient is φ = 151280000.

The previous prime is 420202403. The next prime is 420202439. The reversal of 420202420 is 24202024.

It is a junction number, because it is equal to n+sod(n) for n = 420202394 and 420202403.

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, 12765 + ... + 31675.

It is an arithmetic number, because the mean of its divisors is an integer number (20254752).

Almost surely, 2420202420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486114048).

420202420 is an abundant number, since it is smaller than the sum of its proper divisors (552025676).

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

420202420 is a wasteful number, since it uses less digits than its factorization.

420202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19032 (or 19030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 420202420 is about 20498.8394793461. The cubic root of 420202420 is about 749.0075287285.

Adding to 420202420 its reverse (24202024), we get a palindrome (444404444).

The spelling of 420202420 in words is "four hundred twenty million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 18911 22220 37822 75644 94555 189110 208021 378220 416042 832084 1040105 1910011 2080210 3820022 4160420 7640044 9550055 19100110 21010121 38200220 42020242 84040484 105050605 210101210 420202420