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14969320 = 2352353307
BaseRepresentation
bin111001000110…
…100111101000
31001011112001021
4321012213220
512313004240
61252502224
7241144222
oct71064750
931145037
1014969320
1184a4743
12501a974
1331416b2
141db9412
1514aa54a
hexe469e8

14969320 has 64 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 5601024.

The previous prime is 14969309. The next prime is 14969323. The reversal of 14969320 is 2396941.

14969320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14969323) 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, 48607 + ... + 48913.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 214969320 is an apocalyptic number.

14969320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14969320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

14969320 is an abundant number, since it is smaller than the sum of its proper divisors (20955800).

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

14969320 is a wasteful number, since it uses less digits than its factorization.

14969320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 14969320 is about 3869.0205478906. The cubic root of 14969320 is about 246.4529518092.

It can be divided in two parts, 1496 and 9320, that added together give a square (10816 = 1042).

The spelling of 14969320 in words is "fourteen million, nine hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 53 92 106 115 184 212 230 265 307 424 460 530 614 920 1060 1219 1228 1535 2120 2438 2456 3070 4876 6095 6140 7061 9752 12190 12280 14122 16271 24380 28244 32542 35305 48760 56488 65084 70610 81355 130168 141220 162710 282440 325420 374233 650840 748466 1496932 1871165 2993864 3742330 7484660 14969320