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14429056 = 271719349
BaseRepresentation
bin110111000010…
…101110000000
31000011001221111
4313002232000
512143212211
61233133104
7233434135
oct67025600
930131844
1014429056
118165844
1249ba194
132cb2805
141cb858c
151400421
hexdc2b80

14429056 has 64 divisors (see below), whose sum is σ = 32130000. Its totient is φ = 6414336.

The previous prime is 14429033. The next prime is 14429059. The reversal of 14429056 is 65092441.

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

It is a super-2 number, since 2×144290562 = 416395314102272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14429059) 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, 41170 + ... + 41518.

Almost surely, 214429056 is an apocalyptic number.

14429056 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 14429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065000).

14429056 is an abundant number, since it is smaller than the sum of its proper divisors (17700944).

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

14429056 is a wasteful number, since it uses less digits than its factorization.

14429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 14429056 is about 3798.5597270545. The cubic root of 14429056 is about 243.4516036476.

The spelling of 14429056 in words is "fourteen million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 349 544 608 646 698 1088 1216 1292 1396 2176 2432 2584 2792 5168 5584 5933 6631 10336 11168 11866 13262 20672 22336 23732 26524 41344 44672 47464 53048 94928 106096 112727 189856 212192 225454 379712 424384 450908 759424 848768 901816 1803632 3607264 7214528 14429056