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14293520 = 2452961101
BaseRepresentation
bin110110100001…
…101000010000
3222220012000122
4312201220100
512124343040
61230205412
7232331033
oct66415020
928805018
1014293520
118082a2a
124953868
132c65c07
141c8101a
1513c51b5
hexda1a10

14293520 has 80 divisors (see below), whose sum is σ = 35287920. Its totient is φ = 5376000.

The previous prime is 14293519. The next prime is 14293561. The reversal of 14293520 is 2539241.

It can be written as a sum of positive squares in 8 ways, for example, as 65536 + 14227984 = 256^2 + 3772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14293520.

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, 141470 + ... + 141570.

It is an arithmetic number, because the mean of its divisors is an integer number (441099).

Almost surely, 214293520 is an apocalyptic number.

14293520 is a gapful number since it is divisible by the number (10) 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 14293520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643960).

14293520 is an abundant number, since it is smaller than the sum of its proper divisors (20994400).

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

14293520 is a wasteful number, since it uses less digits than its factorization.

14293520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 14293520 is about 3780.6771880180. The cubic root of 14293520 is about 242.6869356065.

The spelling of 14293520 in words is "fourteen million, two hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 101 116 122 145 202 232 244 290 305 404 464 488 505 580 610 808 976 1010 1160 1220 1616 1769 2020 2320 2440 2929 3538 4040 4880 5858 6161 7076 8080 8845 11716 12322 14152 14645 17690 23432 24644 28304 29290 30805 35380 46864 49288 58580 61610 70760 98576 117160 123220 141520 178669 234320 246440 357338 492880 714676 893345 1429352 1786690 2858704 3573380 7146760 14293520