Search a number
-
+
14126148 = 2232794967
BaseRepresentation
bin110101111000…
…110001000100
3222120200102200
4311320301010
512104014043
61222434500
7231033051
oct65706104
928520380
1014126148
117a79203
124892a30
132c0798a
141c3a028
1513907d3
hexd78c44

14126148 has 36 divisors (see below), whose sum is σ = 36167040. Its totient is φ = 4648176.

The previous prime is 14126137. The next prime is 14126149. The reversal of 14126148 is 84162141.

It is a happy number.

14126148 is a `hidden beast` number, since 1 + 41 + 2 + 614 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (14126149) 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 11 ways as a sum of consecutive naturals, for example, 361 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (1004640).

Almost surely, 214126148 is an apocalyptic number.

14126148 is a gapful number since it is divisible by the number (18) 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 14126148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083520).

14126148 is an abundant number, since it is smaller than the sum of its proper divisors (22040892).

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

14126148 is a wasteful number, since it uses less digits than its factorization.

14126148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5051 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14126148 is about 3758.4768191383. The cubic root of 14126148 is about 241.7359549772.

Adding to 14126148 its reverse (84162141), we get a palindrome (98288289).

The spelling of 14126148 in words is "fourteen million, one hundred twenty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 4967 9934 14901 19868 29802 44703 59604 89406 178812 392393 784786 1177179 1569572 2354358 3531537 4708716 7063074 14126148