Search a number
-
+
14418096 = 2437114783
BaseRepresentation
bin110111000000…
…000010110000
31000010111220120
4313000002300
512142334341
61233010240
7233360160
oct67000260
930114816
1014418096
118158590
1249b3980
132caa824
141cb45a0
1513ec066
hexdc00b0

14418096 has 160 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 3621120.

The previous prime is 14418083. The next prime is 14418097. The reversal of 14418096 is 69081441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14418097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173671 + ... + 173753.

Almost surely, 214418096 is an apocalyptic number.

14418096 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 14418096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

14418096 is an abundant number, since it is smaller than the sum of its proper divisors (33578832).

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

14418096 is a wasteful number, since it uses less digits than its factorization.

14418096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14418096 is about 3797.1168009425. The cubic root of 14418096 is about 243.3899478369.

The spelling of 14418096 in words is "fourteen million, four hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 83 84 88 94 112 132 141 154 166 168 176 188 231 249 264 282 308 329 332 336 376 462 498 517 528 564 581 616 658 664 752 913 924 987 996 1034 1128 1162 1232 1316 1328 1551 1743 1826 1848 1974 1992 2068 2256 2324 2632 2739 3102 3486 3619 3652 3696 3901 3948 3984 4136 4648 5264 5478 6204 6391 6972 7238 7304 7802 7896 8272 9296 10857 10956 11703 12408 12782 13944 14476 14608 15604 15792 19173 21714 21912 23406 24816 25564 27307 27888 28952 31208 38346 42911 43428 43824 46812 51128 54614 57904 62416 76692 81921 85822 86856 93624 102256 109228 128733 153384 163842 171644 173712 187248 218456 257466 300377 306768 327684 343288 436912 514932 600754 655368 686576 901131 1029864 1201508 1310736 1802262 2059728 2403016 3604524 4806032 7209048 14418096