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2012074020 = 223551161617
BaseRepresentation
bin111011111101101…
…1101000000100100
312012020001221200000
41313323131000210
513110042332040
6531353421300
7100601230005
oct16773350044
95166057600
102012074020
11942843aa0
12481a0a830
13260b13c58
1415131d1ac
15bb99a130
hex77edd024

2012074020 has 288 divisors, whose sum is σ = 7029300096. Its totient is φ = 479001600.

The previous prime is 2012073983. The next prime is 2012074021. The reversal of 2012074020 is 204702102.

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 = 2012073984 and 2012074002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012074021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3260752 + ... + 3261368.

It is an arithmetic number, because the mean of its divisors is an integer number (24407292).

Almost surely, 22012074020 is an apocalyptic number.

2012074020 is a gapful number since it is divisible by the number (20) 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 2012074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514650048).

2012074020 is an abundant number, since it is smaller than the sum of its proper divisors (5017226076).

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

2012074020 is a wasteful number, since it uses less digits than its factorization.

2012074020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2012074020 is about 44856.1480735919. The cubic root of 2012074020 is about 1262.4513502150.

Adding to 2012074020 its reverse (204702102), we get a palindrome (2216776122).

The spelling of 2012074020 in words is "two billion, twelve million, seventy-four thousand, twenty".