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2420400012 = 223389518509
BaseRepresentation
bin1001000001000100…
…0101111110001100
320020200102001121220
42100101011332030
514424110300022
61040101323340
7113660026542
oct22021057614
96220361556
102420400012
111032286398
12576706550
132c75ac174
1418d64dd92
15e275585c
hex90445f8c

2420400012 has 24 divisors (see below), whose sum is σ = 5662129200. Its totient is φ = 804724416.

The previous prime is 2420399981. The next prime is 2420400013. The reversal of 2420400012 is 2100040242.

It is a junction number, because it is equal to n+sod(n) for n = 2420399964 and 2420400000.

It is not an unprimeable number, because it can be changed into a prime (2420400013) by changing a digit.

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, 254587 + ... + 263922.

It is an arithmetic number, because the mean of its divisors is an integer number (235922050).

Almost surely, 22420400012 is an apocalyptic number.

It is an amenable number.

2420400012 is an abundant number, since it is smaller than the sum of its proper divisors (3241729188).

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

2420400012 is a wasteful number, since it uses less digits than its factorization.

2420400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518905 (or 518903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2420400012 is about 49197.5610371083. The cubic root of 2420400012 is about 1342.6486581183.

Adding to 2420400012 its reverse (2100040242), we get a palindrome (4520440254).

The spelling of 2420400012 in words is "two billion, four hundred twenty million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 389 778 1167 1556 2334 4668 518509 1037018 1555527 2074036 3111054 6222108 201700001 403400002 605100003 806800004 1210200006 2420400012