Search a number
-
+
14302320 = 2435232591
BaseRepresentation
bin110110100011…
…110001110000
3222220122002120
4312203301300
512130133240
61230314240
7232365504
oct66436160
928818076
1014302320
1180895aa
124958980
132c69c16
141c84304
1513c7ad0
hexda3c70

14302320 has 80 divisors (see below), whose sum is σ = 46282752. Its totient is φ = 3646720.

The previous prime is 14302319. The next prime is 14302331. The reversal of 14302320 is 2320341.

14302320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14302320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4225 + ... + 6815.

Almost surely, 214302320 is an apocalyptic number.

14302320 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 14302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141376).

14302320 is an abundant number, since it is smaller than the sum of its proper divisors (31980432).

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

14302320 is a wasteful number, since it uses less digits than its factorization.

14302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 14302320 is about 3781.8408216106. The cubic root of 14302320 is about 242.7367298934.

Adding to 14302320 its reverse (2320341), we get a palindrome (16622661).

The spelling of 14302320 in words is "fourteen million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2591 2760 5182 5520 7773 10364 12955 15546 20728 25910 31092 38865 41456 51820 59593 62184 77730 103640 119186 124368 155460 178779 207280 238372 297965 310920 357558 476744 595930 621840 715116 893895 953488 1191860 1430232 1787790 2383720 2860464 3575580 4767440 7151160 14302320