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15010149 = 3711181359
BaseRepresentation
bin111001010000…
…100101100101
31001020121001110
4321100211211
512320311044
61253415233
7241404240
oct71204545
931217043
1015010149
118522390
12503a519
13315715b
141dca257
1514b76b9
hexe50965

15010149 has 32 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 7732800.

The previous prime is 15010109. The next prime is 15010157. The reversal of 15010149 is 94101051.

It is a de Polignac number, because none of the positive numbers 2k-15010149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15010109) 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, 41632 + ... + 41990.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 215010149 is an apocalyptic number.

It is an amenable number.

15010149 is a deficient number, since it is larger than the sum of its proper divisors (10149531).

15010149 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (15010148) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (561).

15010149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 15010149 is about 3874.2933549229. The cubic root of 15010149 is about 246.6768161963.

The spelling of 15010149 in words is "fifteen million, ten thousand, one hundred forty-nine".

Divisors: 1 3 7 11 21 33 77 181 231 359 543 1077 1267 1991 2513 3801 3949 5973 7539 11847 13937 27643 41811 64979 82929 194937 454853 714769 1364559 2144307 5003383 15010149