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14302980 = 22385109
BaseRepresentation
bin110110100011…
…111100000100
3222220200000000
4312203330010
512130143410
61230321300
7232400436
oct66437404
928820000
1014302980
11808a04a
124959230
132c6a303
141c84656
1513c7dc0
hexda3f04

14302980 has 108 divisors (see below), whose sum is σ = 45465420. Its totient is φ = 3779136.

The previous prime is 14302949. The next prime is 14303027. The reversal of 14302980 is 8920341.

14302980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 6718464 = 2754^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131166 + ... + 131274.

Almost surely, 214302980 is an apocalyptic number.

14302980 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 14302980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22732710).

14302980 is an abundant number, since it is smaller than the sum of its proper divisors (31162440).

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

14302980 is an equidigital number, since it uses as much as digits as its factorization.

14302980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14302980 is about 3781.9280796969. The cubic root of 14302980 is about 242.7404636414.

The spelling of 14302980 in words is "fourteen million, three hundred two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 243 270 324 327 405 436 486 540 545 654 729 810 972 981 1090 1215 1308 1458 1620 1635 1962 2180 2187 2430 2916 2943 3270 3645 3924 4374 4860 4905 5886 6540 6561 7290 8748 8829 9810 10935 11772 13122 14580 14715 17658 19620 21870 26244 26487 29430 32805 35316 43740 44145 52974 58860 65610 79461 88290 105948 131220 132435 158922 176580 238383 264870 317844 397305 476766 529740 715149 794610 953532 1191915 1430298 1589220 2383830 2860596 3575745 4767660 7151490 14302980