Search a number
-
+
14455672 = 2371131757
BaseRepresentation
bin110111001001…
…001101111000
31000012102110021
4313021031320
512200040142
61233500224
7233604550
oct67111570
930172407
1014455672
118183840
124a11674
132cc196a
141cc4160
151408267
hexdc9378

14455672 has 64 divisors (see below), whose sum is σ = 34928640. Its totient is φ = 5443200.

The previous prime is 14455669. The next prime is 14455681. The reversal of 14455672 is 27655441.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18718 + ... + 19474.

It is an arithmetic number, because the mean of its divisors is an integer number (545760).

Almost surely, 214455672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14455672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464320).

14455672 is an abundant number, since it is smaller than the sum of its proper divisors (20472968).

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

14455672 is a wasteful number, since it uses less digits than its factorization.

14455672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 14455672 is about 3802.0615460563. The cubic root of 14455672 is about 243.6012028956.

It can be divided in two parts, 1445 and 5672, that added together give a palindrome (7117).

The spelling of 14455672 in words is "fourteen million, four hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 757 868 1364 1514 1736 2387 2728 3028 4774 5299 6056 8327 9548 10598 16654 19096 21196 23467 33308 42392 46934 58289 66616 93868 116578 164269 187736 233156 258137 328538 466312 516274 657076 1032548 1314152 1806959 2065096 3613918 7227836 14455672