Search a number
-
+
14688310 = 2571316141
BaseRepresentation
bin111000000010…
…000000110110
31000122020120111
4320002000312
512230011220
61242453234
7235564030
oct70020066
930566514
1014688310
1183225aa
124b0421a
133073810
141d44c50
15145215a
hexe02036

14688310 has 32 divisors (see below), whose sum is σ = 32542272. Its totient is φ = 4648320.

The previous prime is 14688307. The next prime is 14688319. The reversal of 14688310 is 1388641.

It is a super-2 number, since 2×146883102 = 431492901312200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7161 + ... + 8980.

It is an arithmetic number, because the mean of its divisors is an integer number (1016946).

Almost surely, 214688310 is an apocalyptic number.

14688310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14688310 is an abundant number, since it is smaller than the sum of its proper divisors (17853962).

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

14688310 is a wasteful number, since it uses less digits than its factorization.

14688310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 14688310 is about 3832.5331048799. The cubic root of 14688310 is about 244.9010290238.

The spelling of 14688310 in words is "fourteen million, six hundred eighty-eight thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 16141 32282 80705 112987 161410 209833 225974 419666 564935 1049165 1129870 1468831 2098330 2937662 7344155 14688310