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14455116 = 22321367461
BaseRepresentation
bin110111001001…
…000101001100
31000012101200200
4313021011030
512200030431
61233453500
7233603124
oct67110514
930171620
1014455116
118183385
124a11290
132cc1630
141cc3c84
151407ee6
hexdc914c

14455116 has 72 divisors (see below), whose sum is σ = 40023984. Its totient is φ = 4371840.

The previous prime is 14455093. The next prime is 14455141. The reversal of 14455116 is 61155441.

14455116 is a `hidden beast` number, since 144 + 5 + 511 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14455116.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31126 + ... + 31586.

Almost surely, 214455116 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 14455116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011992).

14455116 is an abundant number, since it is smaller than the sum of its proper divisors (25568868).

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

14455116 is a wasteful number, since it uses less digits than its factorization.

14455116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 546 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 14455116 is about 3801.9884271260. The cubic root of 14455116 is about 243.5980796924.

It can be divided in two parts, 1445 and 5116, that added together give a 8-th power (6561 = 38).

The spelling of 14455116 in words is "fourteen million, four hundred fifty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 461 468 603 804 871 922 1206 1383 1742 1844 2412 2613 2766 3484 4149 5226 5532 5993 7839 8298 10452 11986 15678 16596 17979 23972 30887 31356 35958 53937 61774 71916 92661 107874 123548 185322 215748 277983 370644 401531 555966 803062 1111932 1204593 1606124 2409186 3613779 4818372 7227558 14455116