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12087933 = 31113191483
BaseRepresentation
bin101110000111…
…001001111101
3211202010112020
4232013021331
511043303213
61111030353
7204513534
oct56071175
924663466
1012087933
116906930
12406b3b9
132673030
14186931b
1510db923
hexb8727d

12087933 has 32 divisors (see below), whose sum is σ = 19944960. Its totient is φ = 6402240.

The previous prime is 12087919. The next prime is 12087941. The reversal of 12087933 is 33978021.

12087933 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12087933 - 29 = 12087421 is a prime.

It is a super-2 number, since 2×120879332 = 292236248424978, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12087894 and 12087903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12087433) 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, 7410 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (623280).

Almost surely, 212087933 is an apocalyptic number.

12087933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12087933 is a deficient number, since it is larger than the sum of its proper divisors (7857027).

12087933 is a wasteful number, since it uses less digits than its factorization.

12087933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 12087933 is about 3476.7704842281. The cubic root of 12087933 is about 229.5007001085.

The spelling of 12087933 in words is "twelve million, eighty-seven thousand, nine hundred thirty-three".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 429 627 741 1483 2717 4449 8151 16313 19279 28177 48939 57837 84531 212069 309947 366301 636207 929841 1098903 4029311 12087933