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14159328 = 253791867
BaseRepresentation
bin110110000000…
…110111100000
3222122100221120
4312000313200
512111044303
61223252240
7231231561
oct66006740
928570846
1014159328
117aa1127
1248aa080
132c19b01
141c48168
15139a553
hexd80de0

14159328 has 48 divisors (see below), whose sum is σ = 37658880. Its totient is φ = 4657536.

The previous prime is 14159323. The next prime is 14159333. The reversal of 14159328 is 82395141.

It is an interprime number because it is at equal distance from previous prime (14159323) and next prime (14159333).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14159323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6651 + ... + 8517.

It is an arithmetic number, because the mean of its divisors is an integer number (784560).

Almost surely, 214159328 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 14159328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829440).

14159328 is an abundant number, since it is smaller than the sum of its proper divisors (23499552).

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

14159328 is a wasteful number, since it uses less digits than its factorization.

14159328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1951 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 14159328 is about 3762.8882523934. Note that the first 3 decimals coincide. The cubic root of 14159328 is about 241.9250729949.

The spelling of 14159328 in words is "fourteen million, one hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1867 1896 2528 3734 3792 5601 7468 7584 11202 14936 22404 29872 44808 59744 89616 147493 179232 294986 442479 589972 884958 1179944 1769916 2359888 3539832 4719776 7079664 14159328