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14468148 = 22322711483
BaseRepresentation
bin110111001100…
…010000110100
31000020001120100
4313030100310
512200440043
61234034100
7233656122
oct67142064
930201510
1014468148
118192152
124a18930
132cc7546
141cc8912
15140bcd3
hexdcc434

14468148 has 36 divisors (see below), whose sum is σ = 36731968. Its totient is φ = 4801680.

The previous prime is 14468141. The next prime is 14468171. The reversal of 14468148 is 84186441.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14468141) 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, 9015 + ... + 10497.

Almost surely, 214468148 is an apocalyptic number.

14468148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14468148 is an abundant number, since it is smaller than the sum of its proper divisors (22263820).

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

14468148 is a wasteful number, since it uses less digits than its factorization.

14468148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1759 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14468148 is about 3803.7018810627. The cubic root of 14468148 is about 243.6712629317.

The spelling of 14468148 in words is "fourteen million, four hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 271 542 813 1084 1483 1626 2439 2966 3252 4449 4878 5932 8898 9756 13347 17796 26694 53388 401893 803786 1205679 1607572 2411358 3617037 4822716 7234074 14468148