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14199300 = 2234521753
BaseRepresentation
bin110110001010…
…101000000100
3222201101210000
4312022220010
512113334200
61224201300
7231456243
oct66125004
928641700
1014199300
118019165
124909230
132c3206b
141c5895a
1513a7300
hexd8aa04

14199300 has 90 divisors (see below), whose sum is σ = 46054778. Its totient is φ = 3784320.

The previous prime is 14199281. The next prime is 14199307. The reversal of 14199300 is 399141.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 14152644 = 216^2 + 3762^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (14199307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7224 + ... + 8976.

Almost surely, 214199300 is an apocalyptic number.

14199300 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 14199300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027389).

14199300 is an abundant number, since it is smaller than the sum of its proper divisors (31855478).

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

14199300 is a wasteful number, since it uses less digits than its factorization.

14199300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 14199300 is about 3768.1958547825. The cubic root of 14199300 is about 242.1525118377.

The spelling of 14199300 in words is "fourteen million, one hundred ninety-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 1753 2025 2700 3506 4050 5259 7012 8100 8765 10518 15777 17530 21036 26295 31554 35060 43825 47331 52590 63108 78885 87650 94662 105180 131475 141993 157770 175300 189324 236655 262950 283986 315540 394425 473310 525900 567972 709965 788850 946620 1183275 1419930 1577700 2366550 2839860 3549825 4733100 7099650 14199300