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14630625 = 3454172
BaseRepresentation
bin110111110011…
…111011100001
31000112022110000
4313303323201
512221140000
61241330213
7235233612
oct67637341
930468400
1014630625
118293229
124a96969
133053499
141d2bc09
151440000
hexdf3ee1

14630625 has 75 divisors (see below), whose sum is σ = 29011807. Its totient is φ = 7344000.

The previous prime is 14630579. The next prime is 14630633. The reversal of 14630625 is 52603641.

The square root of 14630625 is 3825.

It is a perfect power (a square), and thus also a powerful number.

14630625 is a `hidden beast` number, since 1 + 4 + 6 + 30 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7144929 + 7485696 = 2673^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 14630625 - 217 = 14499553 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 860617 + ... + 860633.

Almost surely, 214630625 is an apocalyptic number.

14630625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14630625 is the 3825-th square number.

14630625 is the 1913-rd centered octagonal number.

It is an amenable number.

14630625 is a deficient number, since it is larger than the sum of its proper divisors (14381182).

14630625 is an frugal number, since it uses more digits than its factorization.

14630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 14630625 is about 244.5800106994.

The spelling of 14630625 in words is "fourteen million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 125 135 153 225 255 289 375 405 425 459 625 675 765 867 1125 1275 1377 1445 1875 2025 2125 2295 2601 3375 3825 4335 5625 6375 6885 7225 7803 10125 10625 11475 13005 16875 19125 21675 23409 31875 34425 36125 39015 50625 57375 65025 95625 108375 117045 172125 180625 195075 286875 325125 541875 585225 860625 975375 1625625 2926125 4876875 14630625