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2010812328 = 233279741131
BaseRepresentation
bin111011111011010…
…1000111110101000
312012010200211221200
41313312220332220
513104231443303
6531310404200
7100554423420
oct16766507650
95163624850
102010812328
11942062078
12481500660
132607918a5
141510b1480
15bb7eb3a3
hex77da8fa8

2010812328 has 96 divisors (see below), whose sum is σ = 6288260160. Its totient is φ = 568581120.

The previous prime is 2010812317. The next prime is 2010812341. The reversal of 2010812328 is 8232180102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28323 + ... + 69453.

It is an arithmetic number, because the mean of its divisors is an integer number (65502710).

Almost surely, 22010812328 is an apocalyptic number.

2010812328 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 2010812328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144130080).

2010812328 is an abundant number, since it is smaller than the sum of its proper divisors (4277447832).

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

2010812328 is a wasteful number, since it uses less digits than its factorization.

2010812328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41247 (or 41240 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2010812328 is about 44842.0821104462. The cubic root of 2010812328 is about 1262.1874172779.

The spelling of 2010812328 in words is "two billion, ten million, eight hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 97 126 168 194 252 291 388 504 582 679 776 873 1164 1358 1746 2037 2328 2716 3492 4074 5432 6111 6984 8148 12222 16296 24444 41131 48888 82262 123393 164524 246786 287917 329048 370179 493572 575834 740358 863751 987144 1151668 1480716 1727502 2303336 2591253 2961432 3455004 3989707 5182506 6910008 7979414 10365012 11969121 15958828 20730024 23938242 27927949 31917656 35907363 47876484 55855898 71814726 83783847 95752968 111711796 143629452 167567694 223423592 251351541 287258904 335135388 502703082 670270776 1005406164 2010812328