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14120496 = 24321319397
BaseRepresentation
bin110101110111…
…011000110000
3222120101200100
4311313120300
512103323441
61222352400
7231010425
oct65673060
928511610
1014120496
117a74a35
12488b700
132c05230
141c37d4c
15138dcb6
hexd77630

14120496 has 120 divisors (see below), whose sum is σ = 44910320. Its totient is φ = 4105728.

The previous prime is 14120461. The next prime is 14120497. The reversal of 14120496 is 69402141.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14120497) 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 23 ways as a sum of consecutive naturals, for example, 35370 + ... + 35766.

Almost surely, 214120496 is an apocalyptic number.

14120496 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 14120496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455160).

14120496 is an abundant number, since it is smaller than the sum of its proper divisors (30789824).

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

14120496 is a wasteful number, since it uses less digits than its factorization.

14120496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14120496 is about 3757.7248435722. The cubic root of 14120496 is about 241.7037104266.

The spelling of 14120496 in words is "fourteen million, one hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 397 456 468 494 624 684 741 794 912 936 988 1191 1368 1482 1588 1872 1976 2223 2382 2736 2964 3176 3573 3952 4446 4764 5161 5928 6352 7146 7543 8892 9528 10322 11856 14292 15086 15483 17784 19056 20644 22629 28584 30172 30966 35568 41288 45258 46449 57168 60344 61932 67887 82576 90516 92898 98059 120688 123864 135774 181032 185796 196118 247728 271548 294177 362064 371592 392236 543096 588354 743184 784472 882531 1086192 1176708 1568944 1765062 2353416 3530124 4706832 7060248 14120496