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10015005 = 35711132329
BaseRepresentation
bin100110001101…
…000100011101
3200211211000010
4212031010131
510030440010
6554353433
7151061160
oct46150435
920754003
1010015005
115720470
12342b879
1320c8650
141489ad7
15d2c620
hex98d11d

10015005 has 128 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 3548160.

The previous prime is 10014997. The next prime is 10015009. The reversal of 10015005 is 50051001.

10015005 is a nontrivial binomial coefficient, being equal to C(29, 9).

It is not a de Polignac number, because 10015005 - 23 = 10014997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015009) 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 127 ways as a sum of consecutive naturals, for example, 345331 + ... + 345359.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 210015005 is an apocalyptic number.

10015005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10015005 is an abundant number, since it is smaller than the sum of its proper divisors (13209315).

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

10015005 is a wasteful number, since it uses less digits than its factorization.

10015005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 10015005 is about 3164.6492696664. The cubic root of 10015005 is about 215.5511727930.

Adding to 10015005 its reverse (50051001), we get a palindrome (60066006).

It can be divided in two parts, 1001 and 5005, that added together give a palindrome (6006).

The spelling of 10015005 in words is "ten million, fifteen thousand, five".

Divisors: 1 3 5 7 11 13 15 21 23 29 33 35 39 55 65 69 77 87 91 105 115 143 145 161 165 195 203 231 253 273 299 319 345 377 385 429 435 455 483 609 667 715 759 805 897 957 1001 1015 1131 1155 1265 1365 1495 1595 1771 1885 2001 2093 2145 2233 2415 2639 3003 3045 3289 3335 3795 4147 4485 4669 4785 5005 5313 5655 6279 6699 7337 7917 8671 8855 9867 10005 10465 11165 12441 13195 14007 15015 16445 20735 22011 23023 23345 26013 26565 29029 31395 33495 36685 39585 43355 49335 51359 60697 62205 69069 70035 87087 95381 110055 115115 130065 145145 154077 182091 256795 286143 303485 345345 435435 476905 667667 770385 910455 1430715 2003001 3338335 10015005