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14241152 = 27313797
BaseRepresentation
bin110110010100…
…110110000000
3222210112012002
4312110312000
512121204102
61225123132
7232022252
oct66246600
928715162
1014241152
118047652
1249294a8
132c48123
141c69cd2
1513b4902
hexd94d80

14241152 has 64 divisors (see below), whose sum is σ = 30387840. Its totient is φ = 6635520.

The previous prime is 14241137. The next prime is 14241169. The reversal of 14241152 is 25114241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146768 + ... + 146864.

It is an arithmetic number, because the mean of its divisors is an integer number (474810).

Almost surely, 214241152 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 14241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193920).

14241152 is an abundant number, since it is smaller than the sum of its proper divisors (16146688).

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

14241152 is an equidigital number, since it uses as much as digits as its factorization.

14241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 14241152 is about 3773.7450894304. The cubic root of 14241152 is about 242.3901908334.

Adding to 14241152 its reverse (25114241), we get a palindrome (39355393).

The spelling of 14241152 in words is "fourteen million, two hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 97 124 128 148 194 248 296 388 496 592 776 992 1147 1184 1552 1984 2294 2368 3007 3104 3589 3968 4588 4736 6014 6208 7178 9176 12028 12416 14356 18352 24056 28712 36704 48112 57424 73408 96224 111259 114848 146816 192448 222518 229696 384896 445036 459392 890072 1780144 3560288 7120576 14241152