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15384213 = 3213131489
BaseRepresentation
bin111010101011…
…111010010101
31001221121011200
4322223322111
512414243323
61305423113
7244522635
oct72537225
931847150
1015384213
118758429
12519aa99
1332584b0
1420866c5
15153d443
hexeabe95

15384213 has 12 divisors (see below), whose sum is σ = 23931180. Its totient is φ = 9467136.

The previous prime is 15384211. The next prime is 15384233. The reversal of 15384213 is 31248351.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1790244 + 13593969 = 1338^2 + 3687^2 .

It is not a de Polignac number, because 15384213 - 21 = 15384211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15384211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65628 + ... + 65861.

It is an arithmetic number, because the mean of its divisors is an integer number (1994265).

Almost surely, 215384213 is an apocalyptic number.

15384213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

15384213 is a deficient number, since it is larger than the sum of its proper divisors (8546967).

15384213 is a wasteful number, since it uses less digits than its factorization.

15384213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131508 (or 131505 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 15384213 is about 3922.2714082531. The cubic root of 15384213 is about 248.7091489526.

The spelling of 15384213 in words is "fifteen million, three hundred eighty-four thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 131489 394467 1183401 1709357 5128071 15384213