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14401002 = 2372116173
BaseRepresentation
bin110110111011…
…110111101010
31000002122110110
4312323313222
512141313002
61232355150
7233256300
oct66736752
930078413
1014401002
118146760
1249a5ab6
132ca2b05
141cac270
1513e6e6c
hexdbbdea

14401002 has 96 divisors (see below), whose sum is σ = 37658304. Its totient is φ = 3628800.

The previous prime is 14400979. The next prime is 14401007. The reversal of 14401002 is 20010441.

It is not an unprimeable number, because it can be changed into a prime (14401007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 197238 + ... + 197310.

It is an arithmetic number, because the mean of its divisors is an integer number (392274).

Almost surely, 214401002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829152).

14401002 is an abundant number, since it is smaller than the sum of its proper divisors (23257302).

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

14401002 is a wasteful number, since it uses less digits than its factorization.

14401002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14401002 is about 3794.8652149978. The cubic root of 14401002 is about 243.2937226239.

Adding to 14401002 its reverse (20010441), we get a palindrome (34411443).

It can be divided in two parts, 1440 and 1002, that added together give a palindrome (2442).

The spelling of 14401002 in words is "fourteen million, four hundred one thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 61 66 73 77 98 122 146 147 154 183 219 231 294 366 427 438 462 511 539 671 803 854 1022 1078 1281 1342 1533 1606 1617 2013 2409 2562 2989 3066 3234 3577 4026 4453 4697 4818 5621 5978 7154 8906 8967 9394 10731 11242 13359 14091 16863 17934 21462 26718 28182 31171 32879 33726 39347 48983 62342 65758 78694 93513 97966 98637 118041 146949 187026 197274 218197 236082 293898 342881 436394 654591 685762 1028643 1309182 2057286 2400167 4800334 7200501 14401002