Search a number
-
+
16813125 = 32547261
BaseRepresentation
bin100000000100…
…0110001000101
31011122012021100
41000020301011
513301010000
61400210313
7262623600
oct100106105
934565240
1016813125
119543a4a
125769999
1336389c4
142339337
151721a00
hex1008c45

16813125 has 90 divisors (see below), whose sum is σ = 35880702. Its totient is φ = 7560000.

The previous prime is 16813123. The next prime is 16813151. The reversal of 16813125 is 52131861.

It can be written as a sum of positive squares in 5 ways, for example, as 11573604 + 5239521 = 3402^2 + 2289^2 .

It is not a de Polignac number, because 16813125 - 21 = 16813123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16813123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 275595 + ... + 275655.

Almost surely, 216813125 is an apocalyptic number.

16813125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16813125 is an abundant number, since it is smaller than the sum of its proper divisors (19067577).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16813125 is an equidigital number, since it uses as much as digits as its factorization.

16813125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 16813125 is about 4100.3810798510. The cubic root of 16813125 is about 256.1825124676.

Adding to 16813125 its reverse (52131861), we get a palindrome (68944986).

The spelling of 16813125 in words is "sixteen million, eight hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 61 63 75 105 125 147 175 183 225 245 305 315 375 427 441 525 549 625 735 875 915 1125 1225 1281 1525 1575 1875 2135 2205 2625 2745 2989 3675 3843 4375 4575 5625 6125 6405 7625 7875 8967 10675 11025 13125 13725 14945 18375 19215 22875 26901 30625 32025 38125 39375 44835 53375 55125 68625 74725 91875 96075 114375 134505 160125 224175 266875 275625 343125 373625 480375 672525 800625 1120875 1868125 2401875 3362625 5604375 16813125