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15002141 = 7112343197
BaseRepresentation
bin111001001110…
…101000011101
31001020012001212
4321032220131
512320032031
61253314205
7241342010
oct71165035
931205055
1015002141
118517370
125035965
13315360b
141dc7377
1514b512b
hexe4ea1d

15002141 has 32 divisors (see below), whose sum is σ = 20072448. Its totient is φ = 10866240.

The previous prime is 15002123. The next prime is 15002173. The reversal of 15002141 is 14120051.

It is not a de Polignac number, because 15002141 - 218 = 14739997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15002441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76055 + ... + 76251.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 215002141 is an apocalyptic number.

15002141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15002141 is a deficient number, since it is larger than the sum of its proper divisors (5070307).

15002141 is a wasteful number, since it uses less digits than its factorization.

15002141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 15002141 is about 3873.2597382567. The cubic root of 15002141 is about 246.6329405638.

Adding to 15002141 its reverse (14120051), we get a palindrome (29122192).

The spelling of 15002141 in words is "fifteen million, two thousand, one hundred forty-one".

Divisors: 1 7 11 23 43 77 161 197 253 301 473 989 1379 1771 2167 3311 4531 6923 8471 10879 15169 31717 49841 59297 76153 93181 194833 348887 652267 1363831 2143163 15002141