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7896330 = 23251317397
BaseRepresentation
bin11110000111110100001010
3112212011201200
4132013310022
54010140310
6441125030
7124055241
oct36076412
915764650
107896330
1145036a2
122789776
1318361b0
141097958
15a5e9c0
hex787d0a

7896330 has 96 divisors (see below), whose sum is σ = 23469264. Its totient is φ = 1824768.

The previous prime is 7896307. The next prime is 7896331. The reversal of 7896330 is 336987.

7896330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3697929 + 4198401 = 1923^2 + 2049^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7896331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19692 + ... + 20088.

Almost surely, 27896330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7896330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734632).

7896330 is an abundant number, since it is smaller than the sum of its proper divisors (15572934).

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

7896330 is a wasteful number, since it uses less digits than its factorization.

7896330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7896330 is about 2810.0409249689. The cubic root of 7896330 is about 199.1323244729.

The spelling of 7896330 in words is "seven million, eight hundred ninety-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 397 442 510 585 663 765 794 1105 1170 1191 1326 1530 1985 1989 2210 2382 3315 3573 3970 3978 5161 5955 6630 6749 7146 9945 10322 11910 13498 15483 17865 19890 20247 25805 30966 33745 35730 40494 46449 51610 60741 67490 77415 87737 92898 101235 121482 154830 175474 202470 232245 263211 303705 438685 464490 526422 607410 789633 877370 1316055 1579266 2632110 3948165 7896330