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2420727012 = 22331173103271
BaseRepresentation
bin1001000001001001…
…0101110011100100
320020201000200012000
42100102111303210
514424201231022
61040112325300
7113662561104
oct22022256344
96221020160
102420727012
11103248a040
12576843830
132c7694c62
1418d6d7204
15e27bc6ac
hex90495ce4

2420727012 has 192 divisors, whose sum is σ = 7033528320. Its totient is φ = 713836800.

The previous prime is 2420727007. The next prime is 2420727017. The reversal of 2420727012 is 2107270242.

It is an interprime number because it is at equal distance from previous prime (2420727007) and next prime (2420727017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2420727017) 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 63 ways as a sum of consecutive naturals, for example, 8932437 + ... + 8932707.

It is an arithmetic number, because the mean of its divisors is an integer number (36632960).

Almost surely, 22420727012 is an apocalyptic number.

2420727012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420727012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516764160).

2420727012 is an abundant number, since it is smaller than the sum of its proper divisors (4612801308).

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

2420727012 is a wasteful number, since it uses less digits than its factorization.

2420727012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2420727012 is about 49200.8842603464. The cubic root of 2420727012 is about 1342.7091200720.

Adding to 2420727012 its reverse (2107270242), we get a palindrome (4527997254).

The spelling of 2420727012 in words is "two billion, four hundred twenty million, seven hundred twenty-seven thousand, twelve".