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12115005 = 357253311
BaseRepresentation
bin101110001101…
…110000111101
3211210111122220
4232031300331
511100140010
61111355553
7204655500
oct56156075
924714586
1012115005
116925201
124082bb9
132682456
141875137
1510e4970
hexb8dc3d

12115005 has 48 divisors (see below), whose sum is σ = 23048064. Its totient is φ = 5416320.

The previous prime is 12115003. The next prime is 12115013. The reversal of 12115005 is 50051121.

It is not a de Polignac number, because 12115005 - 21 = 12115003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38800 + ... + 39110.

It is an arithmetic number, because the mean of its divisors is an integer number (480168).

Almost surely, 212115005 is an apocalyptic number.

12115005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12115005 is a deficient number, since it is larger than the sum of its proper divisors (10933059).

12115005 is a wasteful number, since it uses less digits than its factorization.

12115005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 12115005 is about 3480.6615750458. The cubic root of 12115005 is about 229.6719014350.

Adding to 12115005 its reverse (50051121), we get a palindrome (62166126).

It can be divided in two parts, 1211 and 5005, that added together give a triangular number (6216 = T111).

The spelling of 12115005 in words is "twelve million, one hundred fifteen thousand, five".

Divisors: 1 3 5 7 15 21 35 49 53 105 147 159 245 265 311 371 735 795 933 1113 1555 1855 2177 2597 4665 5565 6531 7791 10885 12985 15239 16483 32655 38955 45717 49449 76195 82415 115381 228585 247245 346143 576905 807667 1730715 2423001 4038335 12115005