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15042105 = 345132857
BaseRepresentation
bin111001011000…
…011000111001
31001022012220000
4321120120321
512322321410
61254223213
7241566351
oct71303071
931265800
1015042105
1185443a1
125054b09
133168870
141dd7b61
1514c1dc0
hexe58639

15042105 has 40 divisors (see below), whose sum is σ = 29048712. Its totient is φ = 7402752.

The previous prime is 15042101. The next prime is 15042113. The reversal of 15042105 is 50124051.

15042105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 14356521 = 828^2 + 3789^2 .

It is not a de Polignac number, because 15042105 - 22 = 15042101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15042101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3837 + ... + 6693.

Almost surely, 215042105 is an apocalyptic number.

15042105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15042105 is a deficient number, since it is larger than the sum of its proper divisors (14006607).

15042105 is a wasteful number, since it uses less digits than its factorization.

15042105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 15042105 is about 3878.4152691531. The cubic root of 15042105 is about 246.8517471022.

Adding to 15042105 its reverse (50124051), we get a palindrome (65166156).

The spelling of 15042105 in words is "fifteen million, forty-two thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 2857 5265 8571 14285 25713 37141 42855 77139 111423 128565 185705 231417 334269 385695 557115 1002807 1157085 1671345 3008421 5014035 15042105