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14069700 = 223652193
BaseRepresentation
bin110101101010…
…111111000100
3222110211000000
4311222333010
512100212300
61221321300
7230406351
oct65527704
928424000
1014069700
117a3a857
124866230
132bb8088
141c23628
15137dc00
hexd6afc4

14069700 has 126 divisors (see below), whose sum is σ = 46013114. Its totient is φ = 3732480.

The previous prime is 14069689. The next prime is 14069707. The reversal of 14069700 is 796041.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 13883076 = 432^2 + 3726^2 .

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 (14069707) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72804 + ... + 72996.

Almost surely, 214069700 is an apocalyptic number.

14069700 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 14069700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006557).

14069700 is an abundant number, since it is smaller than the sum of its proper divisors (31943414).

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

14069700 is a wasteful number, since it uses less digits than its factorization.

14069700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14069700 is about 3750.9598771514. The cubic root of 14069700 is about 241.4135333367.

The spelling of 14069700 in words is "fourteen million, sixty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 193 225 243 270 300 324 386 405 450 486 540 579 675 729 772 810 900 965 972 1158 1215 1350 1458 1620 1737 1930 2025 2316 2430 2700 2895 2916 3474 3645 3860 4050 4825 4860 5211 5790 6075 6948 7290 8100 8685 9650 10422 11580 12150 14475 14580 15633 17370 18225 19300 20844 24300 26055 28950 31266 34740 36450 43425 46899 52110 57900 62532 72900 78165 86850 93798 104220 130275 140697 156330 173700 187596 234495 260550 281394 312660 390825 468990 521100 562788 703485 781650 937980 1172475 1406970 1563300 2344950 2813940 3517425 4689900 7034850 14069700