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12933921 = 3711135973
BaseRepresentation
bin110001010101…
…101100100001
3220100010000010
4301111230201
511302341141
61141115133
7214636140
oct61255441
926303003
1012933921
1173344a0
1243b8aa9
1328ab110
141a09757
151207416
hexc55b21

12933921 has 64 divisors (see below), whose sum is σ = 23869440. Its totient is φ = 6013440.

The previous prime is 12933919. The next prime is 12933929.

It is a happy number.

12933921 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12933921 - 21 = 12933919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12933929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177141 + ... + 177213.

It is an arithmetic number, because the mean of its divisors is an integer number (372960).

Almost surely, 212933921 is an apocalyptic number.

12933921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12933921 is a deficient number, since it is larger than the sum of its proper divisors (10935519).

12933921 is a wasteful number, since it uses less digits than its factorization.

12933921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its digits is 2916, while the sum is 30.

The square root of 12933921 is about 3596.3760926800. The cubic root of 12933921 is about 234.7343973725.

The spelling of 12933921 in words is "twelve million, nine hundred thirty-three thousand, nine hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 59 73 77 91 143 177 219 231 273 413 429 511 649 767 803 949 1001 1239 1533 1947 2301 2409 2847 3003 4307 4543 5369 5621 6643 8437 10439 12921 13629 16107 16863 19929 25311 30149 31317 47377 55991 59059 73073 90447 142131 167973 177177 219219 331639 391937 615901 994917 1175811 1847703 4311307 12933921