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12933690 = 2357112509
BaseRepresentation
bin110001010101…
…101000111010
3220100002200120
4301111220322
511302334230
61141114110
7214635360
oct61255072
926302616
1012933690
117334300
1243b8936
1328aac93
141a09630
151207310
hexc55a3a

12933690 has 96 divisors (see below), whose sum is σ = 39070080. Its totient is φ = 2682240.

The previous prime is 12933671. The next prime is 12933709. The reversal of 12933690 is 9633921.

12933690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12933671) and next prime (12933709).

It is a super-2 number, since 2×129336902 = 334560674032200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25156 + ... + 25664.

It is an arithmetic number, because the mean of its divisors is an integer number (406980).

Almost surely, 212933690 is an apocalyptic number.

12933690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12933690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

12933690 is an abundant number, since it is smaller than the sum of its proper divisors (26136390).

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

12933690 is a wasteful number, since it uses less digits than its factorization.

12933690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 12933690 is about 3596.3439768743. The cubic root of 12933690 is about 234.7329999110.

The spelling of 12933690 in words is "twelve million, nine hundred thirty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 509 605 726 770 847 1018 1155 1210 1527 1694 1815 2310 2541 2545 3054 3563 3630 4235 5082 5090 5599 7126 7635 8470 10689 11198 12705 15270 16797 17815 21378 25410 27995 33594 35630 39193 53445 55990 61589 78386 83985 106890 117579 123178 167970 184767 195965 235158 307945 369534 391930 431123 587895 615890 862246 923835 1175790 1293369 1847670 2155615 2586738 4311230 6466845 12933690