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14275296 = 253277397
BaseRepresentation
bin110110011101…
…001011100000
3222212021000200
4312131023200
512123302141
61225545200
7232223640
oct66351340
928767020
1014275296
118070272
124945200
132c5a829
141c78520
1513beab6
hexd9d2e0

14275296 has 144 divisors (see below), whose sum is σ = 47515104. Its totient is φ = 3981312.

The previous prime is 14275267. The next prime is 14275297. The reversal of 14275296 is 69257241.

14275296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14275296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14275297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147120 + ... + 147216.

It is an arithmetic number, because the mean of its divisors is an integer number (329966).

Almost surely, 214275296 is an apocalyptic number.

14275296 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 14275296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757552).

14275296 is an abundant number, since it is smaller than the sum of its proper divisors (33239808).

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

14275296 is a wasteful number, since it uses less digits than its factorization.

14275296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 14275296 is about 3778.2662690710. The cubic root of 14275296 is about 242.5837511406.

The spelling of 14275296 in words is "fourteen million, two hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 97 112 126 144 146 168 194 219 224 252 288 291 292 336 388 438 504 511 582 584 657 672 679 776 873 876 1008 1022 1164 1168 1314 1358 1533 1552 1746 1752 2016 2037 2044 2328 2336 2628 2716 3066 3104 3492 3504 4074 4088 4599 4656 5256 5432 6111 6132 6984 7008 7081 8148 8176 9198 9312 10512 10864 12222 12264 13968 14162 16296 16352 18396 21024 21243 21728 24444 24528 27936 28324 32592 36792 42486 48888 49056 49567 56648 63729 65184 73584 84972 97776 99134 113296 127458 147168 148701 169944 195552 198268 226592 254916 297402 339888 396536 446103 509832 594804 679776 793072 892206 1019664 1189608 1586144 1784412 2039328 2379216 3568824 4758432 7137648 14275296