Search a number
-
+
12629331 = 3311133271
BaseRepresentation
bin110000001011…
…010101010011
3212202122012000
4300023111103
511213114311
61130405043
7212230131
oct60132523
925678160
1012629331
117146670
124290783
1328025a0
14196a751
151197056
hexc0b553

12629331 has 32 divisors (see below), whose sum is σ = 21987840. Its totient is φ = 7063200.

The previous prime is 12629329. The next prime is 12629333. The reversal of 12629331 is 13392621.

12629331 is a `hidden beast` number, since 1 + 2 + 629 + 3 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (12629329) and next prime (12629333).

It is not a de Polignac number, because 12629331 - 21 = 12629329 is a prime.

It is a super-2 number, since 2×126293312 = 319000003015122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12629295 and 12629304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629333) 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 31 ways as a sum of consecutive naturals, for example, 2226 + ... + 5496.

It is an arithmetic number, because the mean of its divisors is an integer number (687120).

Almost surely, 212629331 is an apocalyptic number.

12629331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12629331 is a deficient number, since it is larger than the sum of its proper divisors (9358509).

12629331 is a wasteful number, since it uses less digits than its factorization.

12629331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3298 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12629331 is about 3553.7770048218. Note that the first 3 decimals coincide. The cubic root of 12629331 is about 232.8770987595.

The spelling of 12629331 in words is "twelve million, six hundred twenty-nine thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3271 3861 9813 29439 35981 42523 88317 107943 127569 323829 382707 467753 971487 1148121 1403259 4209777 12629331