Search a number
-
+
14198496 = 2531331367
BaseRepresentation
bin110110001010…
…011011100000
3222201100200020
4312022123200
512113322441
61224153440
7231454014
oct66123340
928640606
1014198496
1180185a4
124908880
132c318a0
141c58544
1513a6e66
hexd8a6e0

14198496 has 96 divisors (see below), whose sum is σ = 41545728. Its totient is φ = 4216320.

The previous prime is 14198489. The next prime is 14198497. The reversal of 14198496 is 69489141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14198497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38505 + ... + 38871.

It is an arithmetic number, because the mean of its divisors is an integer number (432768).

Almost surely, 214198496 is an apocalyptic number.

14198496 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 14198496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20772864).

14198496 is an abundant number, since it is smaller than the sum of its proper divisors (27347232).

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

14198496 is a wasteful number, since it uses less digits than its factorization.

14198496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 14198496 is about 3768.0891709194. The cubic root of 14198496 is about 242.1479413238.

The spelling of 14198496 in words is "fourteen million, one hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 367 372 403 416 496 624 734 744 806 992 1101 1209 1248 1468 1488 1612 2202 2418 2936 2976 3224 4404 4771 4836 5872 6448 8808 9542 9672 11377 11744 12896 14313 17616 19084 19344 22754 28626 34131 35232 38168 38688 45508 57252 68262 76336 91016 114504 136524 147901 152672 182032 229008 273048 295802 364064 443703 458016 546096 591604 887406 1092192 1183208 1774812 2366416 3549624 4732832 7099248 14198496