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14100580 = 22513193281
BaseRepresentation
bin110101110010…
…100001100100
3222112101100201
4311302201210
512102204310
61222120244
7230565364
oct65624144
928471321
1014100580
117a60a7a
124880084
132bc9150
141c309a4
151387e3a
hexd72864

14100580 has 48 divisors (see below), whose sum is σ = 32168304. Its totient is φ = 5160960.

The previous prime is 14100551. The next prime is 14100613. The reversal of 14100580 is 8500141.

It can be written as a sum of positive squares in 8 ways, for example, as 1327104 + 12773476 = 1152^2 + 3574^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50040 + ... + 50320.

It is an arithmetic number, because the mean of its divisors is an integer number (670173).

Almost surely, 214100580 is an apocalyptic number.

14100580 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 14100580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084152).

14100580 is an abundant number, since it is smaller than the sum of its proper divisors (18067724).

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

14100580 is a wasteful number, since it uses less digits than its factorization.

14100580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 14100580 is about 3755.0739007375. The cubic root of 14100580 is about 241.5900214071.

The spelling of 14100580 in words is "fourteen million, one hundred thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 281 386 562 772 965 1124 1405 1930 2509 2810 3653 3860 5018 5620 7306 10036 12545 14612 18265 25090 36530 50180 54233 73060 108466 216932 271165 542330 705029 1084660 1410058 2820116 3525145 7050290 14100580