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14423136 = 2537132127
BaseRepresentation
bin110111000001…
…010001100000
31000010202211020
4313001101200
512143020021
61233045440
7233410650
oct67012140
930122736
1014423136
118161352
1249b6880
132cacc00
141cb6360
1513ed7c6
hexdc1460

14423136 has 144 divisors (see below), whose sum is σ = 47222784. Its totient is φ = 3773952.

The previous prime is 14423131. The next prime is 14423137. The reversal of 14423136 is 63132441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14423131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113505 + ... + 113631.

It is an arithmetic number, because the mean of its divisors is an integer number (327936).

Almost surely, 214423136 is an apocalyptic number.

14423136 is a gapful number since it is divisible by the number (16) 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 14423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611392).

14423136 is an abundant number, since it is smaller than the sum of its proper divisors (32799648).

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

14423136 is a wasteful number, since it uses less digits than its factorization.

14423136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 14423136 is about 3797.7804043941. The cubic root of 14423136 is about 243.4183043881.

Adding to 14423136 its reverse (63132441), we get a palindrome (77555577).

The spelling of 14423136 in words is "fourteen million, four hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 127 156 168 169 182 208 224 254 273 312 336 338 364 381 416 507 508 546 624 672 676 728 762 889 1014 1016 1092 1183 1248 1352 1456 1524 1651 1778 2028 2032 2184 2366 2667 2704 2912 3048 3302 3549 3556 4056 4064 4368 4732 4953 5334 5408 6096 6604 7098 7112 8112 8736 9464 9906 10668 11557 12192 13208 14196 14224 16224 18928 19812 21336 21463 23114 26416 28392 28448 34671 37856 39624 42672 42926 46228 52832 56784 64389 69342 79248 85344 85852 92456 113568 128778 138684 150241 158496 171704 184912 257556 277368 300482 343408 369824 450723 515112 554736 600964 686816 901446 1030224 1109472 1201928 1802892 2060448 2403856 3605784 4807712 7211568 14423136