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420203424 = 25341106759
BaseRepresentation
bin11001000010111…
…100101110100000
31002021200112201210
4121002330232200
51330033002144
6105410230120
713261445604
oct3102745640
91067615653
10420203424
111a6215063
12b8885340
13690964a4
143db43504
1526d54ab9
hex190bcba0

420203424 has 48 divisors (see below), whose sum is σ = 1129947840. Its totient is φ = 136650240.

The previous prime is 420203401. The next prime is 420203447. The reversal of 420203424 is 424302024.

It is an interprime number because it is at equal distance from previous prime (420203401) and next prime (420203447).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 420203424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49444 + ... + 57315.

It is an arithmetic number, because the mean of its divisors is an integer number (23540580).

Almost surely, 2420203424 is an apocalyptic number.

It is an amenable number.

420203424 is an abundant number, since it is smaller than the sum of its proper divisors (709744416).

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

420203424 is a wasteful number, since it uses less digits than its factorization.

420203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106813 (or 106805 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 420203424 is about 20498.8639685227. The cubic root of 420203424 is about 749.0081252687.

Adding to 420203424 its reverse (424302024), we get a palindrome (844505448).

The spelling of 420203424 in words is "four hundred twenty million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 106759 213518 320277 427036 640554 854072 1281108 1708144 2562216 3416288 4377119 5124432 8754238 10248864 13131357 17508476 26262714 35016952 52525428 70033904 105050856 140067808 210101712 420203424