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14289696 = 253437149
BaseRepresentation
bin110110100000…
…101100100000
3222212222210000
4312200230200
512124232241
61230140000
7232313631
oct66405440
928788700
1014289696
118080073
124951600
132c64255
141c7d888
1513c3eb6
hexda0b20

14289696 has 120 divisors (see below), whose sum is σ = 43451100. Its totient is φ = 4603392.

The previous prime is 14289683. The next prime is 14289697. The reversal of 14289696 is 69698241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14288400 + 1296 = 3780^2 + 36^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14289697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95830 + ... + 95978.

Almost surely, 214289696 is an apocalyptic number.

14289696 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 14289696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21725550).

14289696 is an abundant number, since it is smaller than the sum of its proper divisors (29161404).

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

14289696 is a wasteful number, since it uses less digits than its factorization.

14289696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 14289696 is about 3780.1714246843. The cubic root of 14289696 is about 242.6652913553.

The spelling of 14289696 in words is "fourteen million, two hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 149 162 216 222 288 296 298 324 333 432 444 447 592 596 648 666 864 888 894 999 1184 1192 1296 1332 1341 1776 1788 1998 2384 2592 2664 2682 2997 3552 3576 3996 4023 4768 5328 5364 5513 5994 7152 7992 8046 10656 10728 11026 11988 12069 14304 15984 16092 16539 21456 22052 23976 24138 31968 32184 33078 42912 44104 47952 48276 49617 64368 66156 88208 95904 96552 99234 128736 132312 148851 176416 193104 198468 264624 297702 386208 396936 446553 529248 595404 793872 893106 1190808 1587744 1786212 2381616 3572424 4763232 7144848 14289696