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14089152 = 263711953
BaseRepresentation
bin110101101111…
…101111000000
3222111210200110
4311233233000
512101323102
61221551320
7230520150
oct65575700
928453613
1014089152
117a53430
124875540
132bc3b9c
141c2a760
15138486c
hexd6fbc0

14089152 has 112 divisors (see below), whose sum is σ = 46524672. Its totient is φ = 3655680.

The previous prime is 14089147. The next prime is 14089177. The reversal of 14089152 is 25198041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14308 + ... + 15260.

Almost surely, 214089152 is an apocalyptic number.

14089152 is a gapful number since it is divisible by the number (12) 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 14089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23262336).

14089152 is an abundant number, since it is smaller than the sum of its proper divisors (32435520).

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

14089152 is a wasteful number, since it uses less digits than its factorization.

14089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 14089152 is about 3753.5519178506. The cubic root of 14089152 is about 241.5247371666.

Subtracting 14089152 from its reverse (25198041), we obtain a square (11108889 = 33332).

It can be divided in two parts, 14089 and 152, that added together give a palindrome (14241).

The spelling of 14089152 in words is "fourteen million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 953 1056 1232 1344 1848 1906 2112 2464 2859 3696 3812 4928 5718 6671 7392 7624 10483 11436 13342 14784 15248 20013 20966 22872 26684 30496 31449 40026 41932 45744 53368 60992 62898 73381 80052 83864 91488 106736 125796 146762 160104 167728 182976 213472 220143 251592 293524 320208 335456 426944 440286 503184 587048 640416 670912 880572 1006368 1174096 1280832 1761144 2012736 2348192 3522288 4696384 7044576 14089152