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14242176 = 273313317
BaseRepresentation
bin110110010101…
…000110000000
3222210120121000
4312111012000
512121222201
61225132000
7232025244
oct66250600
928716530
1014242176
1180483a3
12492a000
132c48730
141c6a424
1513b4d86
hexd95180

14242176 has 128 divisors (see below), whose sum is σ = 45410400. Its totient is φ = 4368384.

The previous prime is 14242157. The next prime is 14242177. The reversal of 14242176 is 67124241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44770 + ... + 45086.

Almost surely, 214242176 is an apocalyptic number.

14242176 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 14242176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705200).

14242176 is an abundant number, since it is smaller than the sum of its proper divisors (31168224).

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

14242176 is a wasteful number, since it uses less digits than its factorization.

14242176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 14242176 is about 3773.8807612324. The cubic root of 14242176 is about 242.3960003261.

It can be divided in two parts, 1424 and 2176, that added together give a square (3600 = 602).

The spelling of 14242176 in words is "fourteen million, two hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 317 351 384 416 432 468 576 624 634 702 832 864 936 951 1152 1248 1268 1404 1664 1728 1872 1902 2496 2536 2808 2853 3456 3744 3804 4121 4992 5072 5616 5706 7488 7608 8242 8559 10144 11232 11412 12363 14976 15216 16484 17118 20288 22464 22824 24726 30432 32968 34236 37089 40576 44928 45648 49452 60864 65936 68472 74178 91296 98904 111267 121728 131872 136944 148356 182592 197808 222534 263744 273888 296712 365184 395616 445068 527488 547776 593424 791232 890136 1095552 1186848 1582464 1780272 2373696 3560544 4747392 7121088 14242176