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14294112 = 253789239
BaseRepresentation
bin110110100001…
…110001100000
3222220012211120
4312201301200
512124402422
61230212240
7232332540
oct66416140
928805746
1014294112
118083418
124954080
132c66271
141c81320
1513c545c
hexda1c60

14294112 has 96 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 4021248.

The previous prime is 14294101. The next prime is 14294179. The reversal of 14294112 is 21149241.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 59689 + ... + 59927.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 214294112 is an apocalyptic number.

14294112 is a gapful number since it is divisible by the number (12) 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 14294112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14294112 is an abundant number, since it is smaller than the sum of its proper divisors (29251488).

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

14294112 is a wasteful number, since it uses less digits than its factorization.

14294112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 14294112 is about 3780.7554800595. The cubic root of 14294112 is about 242.6902860451.

The spelling of 14294112 in words is "fourteen million, two hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 239 267 336 356 478 534 623 672 712 717 956 1068 1246 1424 1434 1673 1869 1912 2136 2492 2848 2868 3346 3738 3824 4272 4984 5019 5736 6692 7476 7648 8544 9968 10038 11472 13384 14952 19936 20076 21271 22944 26768 29904 40152 42542 53536 59808 63813 80304 85084 127626 148897 160608 170168 255252 297794 340336 446691 510504 595588 680672 893382 1021008 1191176 1786764 2042016 2382352 3573528 4764704 7147056 14294112