Search a number
-
+
14399520 = 2535131229
BaseRepresentation
bin110110111011…
…100000100000
31000002120102120
4312323200200
512141241040
61232344240
7233252052
oct66734040
930076376
1014399520
118145633
1249a5080
132ca2235
141cab8d2
1513e67d0
hexdbb820

14399520 has 96 divisors (see below), whose sum is σ = 45904320. Its totient is φ = 3793920.

The previous prime is 14399507. The next prime is 14399521. The reversal of 14399520 is 2599341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14399521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62766 + ... + 62994.

It is an arithmetic number, because the mean of its divisors is an integer number (478170).

Almost surely, 214399520 is an apocalyptic number.

14399520 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 14399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22952160).

14399520 is an abundant number, since it is smaller than the sum of its proper divisors (31504800).

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

14399520 is a wasteful number, since it uses less digits than its factorization.

14399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 14399520 is about 3794.6699461218. The cubic root of 14399520 is about 243.2853765920.

The spelling of 14399520 in words is "fourteen million, three hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 229 240 262 393 458 480 524 655 687 786 916 1048 1145 1310 1374 1572 1832 1965 2096 2290 2620 2748 3144 3435 3664 3930 4192 4580 5240 5496 6288 6870 7328 7860 9160 10480 10992 12576 13740 15720 18320 20960 21984 27480 29999 31440 36640 54960 59998 62880 89997 109920 119996 149995 179994 239992 299990 359988 449985 479984 599980 719976 899970 959968 1199960 1439952 1799940 2399920 2879904 3599880 4799840 7199760 14399520