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14148264 = 23313137331
BaseRepresentation
bin110101111110…
…001010101000
3222121210202210
4311332022220
512110221024
61223125120
7231154404
oct65761250
928553683
1014148264
117a93889
1248a37a0
132c14a70
141c44104
151397129
hexd7e2a8

14148264 has 64 divisors (see below), whose sum is σ = 38485440. Its totient is φ = 4308480.

The previous prime is 14148257. The next prime is 14148311. The reversal of 14148264 is 46284141.

It is a nude number because it is divisible by every one of its digits.

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, 42579 + ... + 42909.

It is an arithmetic number, because the mean of its divisors is an integer number (601335).

Almost surely, 214148264 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 14148264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242720).

14148264 is an abundant number, since it is smaller than the sum of its proper divisors (24337176).

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

14148264 is a wasteful number, since it uses less digits than its factorization.

14148264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14148264 is about 3761.4178177916. The cubic root of 14148264 is about 241.8620437211.

The spelling of 14148264 in words is "fourteen million, one hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 331 411 548 662 822 993 1096 1324 1644 1781 1986 2648 3288 3562 3972 4303 5343 7124 7944 8606 10686 12909 14248 17212 21372 25818 34424 42744 45347 51636 90694 103272 136041 181388 272082 362776 544164 589511 1088328 1179022 1768533 2358044 3537066 4716088 7074132 14148264