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14101296 = 24311171571
BaseRepresentation
bin110101110010…
…101100110000
3222112102100020
4311302230300
512102220141
61222123440
7230600436
oct65625460
928472306
1014101296
117a61570
124880580
132bc9581
141c30d56
151388266
hexd72b30

14101296 has 80 divisors (see below), whose sum is σ = 42104448. Its totient is φ = 4019200.

The previous prime is 14101261. The next prime is 14101319. The reversal of 14101296 is 69210141.

14101296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

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, 8191 + ... + 9761.

Almost surely, 214101296 is an apocalyptic number.

14101296 is a gapful number since it is divisible by the number (16) 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 14101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052224).

14101296 is an abundant number, since it is smaller than the sum of its proper divisors (28003152).

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

14101296 is a wasteful number, since it uses less digits than its factorization.

14101296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 14101296 is about 3755.1692371982. The cubic root of 14101296 is about 241.5941104949.

The spelling of 14101296 in words is "fourteen million, one hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 1571 2244 2992 3142 4488 4713 6284 8976 9426 12568 17281 18852 25136 26707 34562 37704 51843 53414 69124 75408 80121 103686 106828 138248 160242 207372 213656 276496 293777 320484 414744 427312 587554 640968 829488 881331 1175108 1281936 1762662 2350216 3525324 4700432 7050648 14101296