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213328026 = 23397139293
BaseRepresentation
bin11001011011100…
…10000010011010
3112212102012001000
430231302002122
5414102444101
633100205430
75200154412
oct1455620232
9485365030
10213328026
11aa46655a
125b539876
1335272902
1420491642
1513add486
hexcb7209a

213328026 has 64 divisors (see below), whose sum is σ = 484041600. Its totient is φ = 69631488.

The previous prime is 213328001. The next prime is 213328033. The reversal of 213328026 is 620823312.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 727936 + ... + 728228.

It is an arithmetic number, because the mean of its divisors is an integer number (7563150).

Almost surely, 2213328026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213328026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242020800).

213328026 is an abundant number, since it is smaller than the sum of its proper divisors (270713574).

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

213328026 is a wasteful number, since it uses less digits than its factorization.

213328026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213328026 is about 14605.7531815377. The cubic root of 213328026 is about 597.5156777689.

The spelling of 213328026 in words is "two hundred thirteen million, three hundred twenty-eight thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 54 97 139 194 278 291 293 417 582 586 834 873 879 1251 1746 1758 2502 2619 2637 3753 5238 5274 7506 7911 13483 15822 26966 28421 40449 40727 56842 80898 81454 85263 121347 122181 170526 242694 244362 255789 364041 366543 511578 728082 733086 767367 1099629 1534734 2199258 3950519 7901038 11851557 23703114 35554671 71109342 106664013 213328026