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11329395 = 3571117577
BaseRepresentation
bin101011001101…
…111101110011
3210022121000020
4223031331303
510400020040
61042454523
7165204210
oct53157563
923277006
1011329395
116438a40
123964443
1324689ac
14170cb07
15edbcd0
hexacdf73

11329395 has 64 divisors (see below), whose sum is σ = 23970816. Its totient is φ = 4423680.

The previous prime is 11329391. The next prime is 11329403. The reversal of 11329395 is 59392311.

It is not a de Polignac number, because 11329395 - 22 = 11329391 is a prime.

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (11329391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19347 + ... + 19923.

It is an arithmetic number, because the mean of its divisors is an integer number (374544).

Almost surely, 211329395 is an apocalyptic number.

11329395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11329395 is an abundant number, since it is smaller than the sum of its proper divisors (12641421).

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

11329395 is a wasteful number, since it uses less digits than its factorization.

11329395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its digits is 7290, while the sum is 33.

The square root of 11329395 is about 3365.9166656351. The cubic root of 11329395 is about 224.5961149483.

The spelling of 11329395 in words is "eleven million, three hundred twenty-nine thousand, three hundred ninety-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 119 165 187 231 255 357 385 561 577 595 935 1155 1309 1731 1785 2805 2885 3927 4039 6347 6545 8655 9809 12117 19041 19635 20195 29427 31735 44429 49045 60585 68663 95205 107899 133287 147135 205989 222145 323697 343315 539495 666435 755293 1029945 1618485 2265879 3776465 11329395