Search a number
-
+
14301120 = 263514897
BaseRepresentation
bin110110100011…
…011111000000
3222220120110010
4312203133000
512130113440
61230304520
7232362141
oct66433700
928816403
1014301120
118088709
124958140
132c69502
141c83ac8
1513c7580
hexda37c0

14301120 has 56 divisors (see below), whose sum is σ = 45409104. Its totient is φ = 3813376.

The previous prime is 14301109. The next prime is 14301163. The reversal of 14301120 is 2110341.

It is a happy number.

14301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14301096 and 14301105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6489 + ... + 8408.

Almost surely, 214301120 is an apocalyptic number.

14301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301120 is an abundant number, since it is smaller than the sum of its proper divisors (31107984).

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

14301120 is a wasteful number, since it uses less digits than its factorization.

14301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14917 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14301120 is about 3781.6821653862. The cubic root of 14301120 is about 242.7299409663.

Adding to 14301120 its reverse (2110341), we get a palindrome (16411461).

The spelling of 14301120 in words is "fourteen million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 14897 29794 44691 59588 74485 89382 119176 148970 178764 223455 238352 297940 357528 446910 476704 595880 715056 893820 953408 1191760 1430112 1787640 2383520 2860224 3575280 4767040 7150560 14301120