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900069396 = 2232361193277
BaseRepresentation
bin110101101001011…
…111100000010100
32022201122021002120
4311221133200110
53320404210041
6225151335540
731206315012
oct6551374024
92281567076
10900069396
1142207a506
122115215b0
1311461c155
14877778b2
1554042366
hex35a5f814

900069396 has 96 divisors (see below), whose sum is σ = 2247022848. Its totient is φ = 279797760.

The previous prime is 900069389. The next prime is 900069397. The reversal of 900069396 is 693960009.

900069396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900069397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3249210 + ... + 3249486.

It is an arithmetic number, because the mean of its divisors is an integer number (23406488).

Almost surely, 2900069396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900069396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123511424).

900069396 is an abundant number, since it is smaller than the sum of its proper divisors (1346953452).

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

900069396 is a wasteful number, since it uses less digits than its factorization.

900069396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 900069396 is about 30001.1565777055. The cubic root of 900069396 is about 965.5141991906.

The spelling of 900069396 in words is "nine hundred million, sixty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 193 244 276 277 366 386 554 579 732 772 831 1108 1158 1403 1662 2316 2806 3324 4209 4439 5612 6371 8418 8878 11773 12742 13317 16836 16897 17756 19113 23546 25484 26634 33794 35319 38226 47092 50691 53268 53461 67588 70638 76452 101382 106922 141276 160383 202764 213844 270779 320766 388631 541558 641532 777262 812337 1083116 1165893 1229603 1554524 1624674 2331786 2459206 3249348 3261121 3688809 4663572 4918412 6522242 7377618 9783363 13044484 14755236 19566726 39133452 75005783 150011566 225017349 300023132 450034698 900069396