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2012387328 = 2113471733
BaseRepresentation
bin111011111110010…
…1001100000000000
312012020122212110000
41313330221200000
513110132343303
6531404240000
7100604003310
oct16774514000
95166585400
102012387328
11942a38426
12481b40000
13260bc3743
141513a1440
15bba0cda3
hex77f29800

2012387328 has 240 divisors, whose sum is σ = 6873506640. Its totient is φ = 574636032.

The previous prime is 2012387287. The next prime is 2012387329. The reversal of 2012387328 is 8237832102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2012387292 and 2012387301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012387329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1160350 + ... + 1162082.

It is an arithmetic number, because the mean of its divisors is an integer number (28639611).

Almost surely, 22012387328 is an apocalyptic number.

2012387328 is a gapful number since it is divisible by the number (28) 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 2012387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436753320).

2012387328 is an abundant number, since it is smaller than the sum of its proper divisors (4861119312).

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

2012387328 is an equidigital number, since it uses as much as digits as its factorization.

2012387328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2012387328 is about 44859.6403017233. The cubic root of 2012387328 is about 1262.5168739110.

The spelling of 2012387328 in words is "two billion, twelve million, three hundred eighty-seven thousand, three hundred twenty-eight".