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14001696 = 253261797
BaseRepresentation
bin110101011010…
…011000100000
3222100100201100
4311122120200
512041023241
61220034400
7230004162
oct65323040
928310640
1014001696
1179a3755
124832a00
132b93137
141c06932
1513689b6
hexd5a620

14001696 has 72 divisors (see below), whose sum is σ = 40520844. Its totient is φ = 4584960.

The previous prime is 14001671. The next prime is 14001707. The reversal of 14001696 is 69610041.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 1299600 = 3564^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17170 + ... + 17966.

Almost surely, 214001696 is an apocalyptic number.

14001696 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 14001696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

14001696 is an abundant number, since it is smaller than the sum of its proper divisors (26519148).

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

14001696 is a wasteful number, since it uses less digits than its factorization.

14001696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 14001696 is about 3741.8840174436. The cubic root of 14001696 is about 241.0239584085.

The spelling of 14001696 in words is "fourteen million, one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 797 976 1098 1464 1594 1952 2196 2391 2928 3188 4392 4782 5856 6376 7173 8784 9564 12752 14346 17568 19128 25504 28692 38256 48617 57384 76512 97234 114768 145851 194468 229536 291702 388936 437553 583404 777872 875106 1166808 1555744 1750212 2333616 3500424 4667232 7000848 14001696