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14098644 = 22337171097
BaseRepresentation
bin110101110010…
…000011010100
3222112021201000
4311302003110
512102124034
61222103300
7230556630
oct65620324
928467630
1014098644
117a5a57a
12487ab30
132bc82c1
141c2ddc0
151387599
hexd720d4

14098644 has 96 divisors (see below), whose sum is σ = 44271360. Its totient is φ = 3787776.

The previous prime is 14098621. The next prime is 14098649. The reversal of 14098644 is 44689041.

It is a happy number.

14098644 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 8 + 644 = 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 = 14098599 and 14098608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14098649) 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 31 ways as a sum of consecutive naturals, for example, 12304 + ... + 13400.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 214098644 is an apocalyptic number.

14098644 is a gapful number since it is divisible by the number (14) 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 14098644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

14098644 is an abundant number, since it is smaller than the sum of its proper divisors (30172716).

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

14098644 is a wasteful number, since it uses less digits than its factorization.

14098644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14098644 is about 3754.8161073480. The cubic root of 14098644 is about 241.5789641861.

The spelling of 14098644 in words is "fourteen million, ninety-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1097 1428 1836 2142 2194 3213 3291 4284 4388 6426 6582 7679 9873 12852 13164 15358 18649 19746 23037 29619 30716 37298 39492 46074 55947 59238 69111 74596 92148 111894 118476 130543 138222 167841 207333 223788 261086 276444 335682 391629 414666 503523 522172 671364 783258 829332 1007046 1174887 1566516 2014092 2349774 3524661 4699548 7049322 14098644