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16257105 = 345137293
BaseRepresentation
bin111110000001…
…000001010001
31010120221120000
4332001001101
513130211410
61340240213
7255116544
oct76010121
933527500
1016257105
1191a4227
125540069
1334a28b7
14223285b
151661dc0
hexf81051

16257105 has 40 divisors (see below), whose sum is σ = 29455272. Its totient is φ = 8577792.

The previous prime is 16257091. The next prime is 16257107. The reversal of 16257105 is 50175261.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 10439361 = 2412^2 + 3231^2 .

It is not a de Polignac number, because 16257105 - 26 = 16257041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16257107) 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, 55339 + ... + 55631.

Almost surely, 216257105 is an apocalyptic number.

16257105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16257105 is a deficient number, since it is larger than the sum of its proper divisors (13198167).

16257105 is a wasteful number, since it uses less digits than its factorization.

16257105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 16257105 is about 4032.0100446303. The cubic root of 16257105 is about 253.3267609483.

The spelling of 16257105 in words is "sixteen million, two hundred fifty-seven thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 137 293 405 411 685 879 1233 1465 2055 2637 3699 4395 6165 7911 11097 13185 18495 23733 39555 40141 55485 118665 120423 200705 361269 602115 1083807 1806345 3251421 5419035 16257105