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14688297 = 341322937
BaseRepresentation
bin111000000010…
…000000101001
31000122020120000
4320002000221
512230011142
61242453213
7235564011
oct70020051
930566500
1014688297
118322598
124b04209
133073800
141d44c41
15145214c
hexe02029

14688297 has 60 divisors (see below), whose sum is σ = 25243020. Its totient is φ = 8491392.

The previous prime is 14688281. The next prime is 14688301. The reversal of 14688297 is 79288641.

It can be written as a sum of positive squares in 6 ways, for example, as 331776 + 14356521 = 576^2 + 3789^2 .

It is not a de Polignac number, because 14688297 - 24 = 14688281 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688277) 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 59 ways as a sum of consecutive naturals, for example, 396963 + ... + 396999.

It is an arithmetic number, because the mean of its divisors is an integer number (420717).

Almost surely, 214688297 is an apocalyptic number.

It is an amenable number.

14688297 is a deficient number, since it is larger than the sum of its proper divisors (10554723).

14688297 is a wasteful number, since it uses less digits than its factorization.

14688297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14688297 is about 3832.5314088733. The cubic root of 14688297 is about 244.9009567733.

The spelling of 14688297 in words is "fourteen million, six hundred eighty-eight thousand, two hundred ninety-seven".

Divisors: 1 3 9 13 27 29 37 39 81 87 111 117 169 261 333 351 377 481 507 783 999 1053 1073 1131 1443 1521 2349 2997 3219 3393 4329 4563 4901 6253 9657 10179 12987 13689 13949 14703 18759 28971 30537 38961 41847 44109 56277 86913 125541 132327 168831 181337 376623 396981 506493 544011 1129869 1632033 4896099 14688297