Search a number
-
+
14104152 = 23331723167
BaseRepresentation
bin110101110011…
…011001011000
3222112120021000
4311303121120
512102313102
61222145000
7230611656
oct65633130
928476230
1014104152
117a63727
124882160
132bca96a
141c31dd6
15138901c
hexd73658

14104152 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 4207104.

The previous prime is 14104151. The next prime is 14104157. The reversal of 14104152 is 25140141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84373 + ... + 84539.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 214104152 is an apocalyptic number.

14104152 is a gapful number since it is divisible by the number (12) 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 14104152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14104152 is an abundant number, since it is smaller than the sum of its proper divisors (29441448).

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

14104152 is a wasteful number, since it uses less digits than its factorization.

14104152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14104152 is about 3755.5494937492. The cubic root of 14104152 is about 241.6104197807.

Adding to 14104152 its reverse (25140141), we get a palindrome (39244293).

The spelling of 14104152 in words is "fourteen million, one hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 92 102 108 136 138 153 167 184 204 207 216 276 306 334 391 408 414 459 501 552 612 621 668 782 828 918 1002 1173 1224 1242 1336 1503 1564 1656 1836 2004 2346 2484 2839 3006 3128 3519 3672 3841 4008 4509 4692 4968 5678 6012 7038 7682 8517 9018 9384 10557 11356 11523 12024 14076 15364 17034 18036 21114 22712 23046 25551 28152 30728 34068 34569 36072 42228 46092 51102 65297 68136 69138 76653 84456 92184 102204 103707 130594 138276 153306 195891 204408 207414 261188 276552 306612 391782 414828 522376 587673 613224 783564 829656 1175346 1567128 1763019 2350692 3526038 4701384 7052076 14104152