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14098428 = 2233314211
BaseRepresentation
bin110101110001…
…111111111100
3222112021102000
4311301333330
512102122203
61222102300
7230556201
oct65617774
928467360
1014098428
117a5a3a3
12487a990
132bc8186
141c2dca8
1513874a3
hexd71ffc

14098428 has 48 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4546800.

The previous prime is 14098393. The next prime is 14098439. The reversal of 14098428 is 82489041.

14098428 is a `hidden beast` number, since 140 + 98 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14098392 and 14098401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 214098428 is an apocalyptic number.

14098428 is a gapful number since it is divisible by the number (18) 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 14098428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

14098428 is an abundant number, since it is smaller than the sum of its proper divisors (23641092).

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

14098428 is a wasteful number, since it uses less digits than its factorization.

14098428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14098428 is about 3754.7873441781. The cubic root of 14098428 is about 241.5777304664.

The spelling of 14098428 in words is "fourteen million, ninety-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 4211 8422 12633 16844 25266 37899 50532 75798 113697 130541 151596 227394 261082 391623 454788 522164 783246 1174869 1566492 2349738 3524607 4699476 7049214 14098428