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2402112420 = 2232513345069
BaseRepresentation
bin1000111100101101…
…0101001110100100
320012101222221202200
42033023111032210
514404420044140
61034205334500
7113345422131
oct21713251644
96171887680
102402112420
111022a25684
12570567430
132c38782c6
1418b04d588
15e0d42030
hex8f2d53a4

2402112420 has 36 divisors (see below), whose sum is σ = 7286408220. Its totient is φ = 640563264.

The previous prime is 2402112413. The next prime is 2402112431. The reversal of 2402112420 is 242112042.

2402112420 is a `hidden beast` number, since 240 + 2 + 1 + 1 + 2 + 420 = 666.

2402112420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1145551716 + 1256560704 = 33846^2 + 35448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2402112393 and 2402112402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6672355 + ... + 6672714.

Almost surely, 22402112420 is an apocalyptic number.

2402112420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402112420 is an abundant number, since it is smaller than the sum of its proper divisors (4884295800).

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

2402112420 is a wasteful number, since it uses less digits than its factorization.

2402112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345084 (or 13345079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2402112420 is about 49011.3499099953. The cubic root of 2402112420 is about 1339.2585970708.

Adding to 2402112420 its reverse (242112042), we get a palindrome (2644224462).

The spelling of 2402112420 in words is "two billion, four hundred two million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13345069 26690138 40035207 53380276 66725345 80070414 120105621 133450690 160140828 200176035 240211242 266901380 400352070 480422484 600528105 800704140 1201056210 2402112420