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14153100 = 223521319191
BaseRepresentation
bin110101111111…
…010110001100
3222122001101220
4311333112030
512110344400
61223203340
7231204453
oct65772614
928561356
1014153100
117a97485
1248a6550
132c17020
141c45b9a
1513987a0
hexd7f58c

14153100 has 144 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3283200.

The previous prime is 14153093. The next prime is 14153123. The reversal of 14153100 is 135141.

It is a super-2 number, since 2×141531002 = 400620479220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14153100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74005 + ... + 74195.

Almost surely, 214153100 is an apocalyptic number.

14153100 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 14153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

14153100 is an abundant number, since it is smaller than the sum of its proper divisors (32510580).

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

14153100 is a wasteful number, since it uses less digits than its factorization.

14153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 14153100 is about 3762.0606055724. The cubic root of 14153100 is about 241.8895974337.

Adding to 14153100 its reverse (135141), we get a palindrome (14288241).

The spelling of 14153100 in words is "fourteen million, one hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 191 195 228 247 260 285 300 325 380 382 390 475 494 570 573 650 741 764 780 950 955 975 988 1140 1146 1235 1300 1425 1482 1900 1910 1950 2292 2470 2483 2850 2865 2964 3629 3705 3820 3900 4775 4940 4966 5700 5730 6175 7258 7410 7449 9550 9932 10887 11460 12350 12415 14325 14516 14820 14898 18145 18525 19100 21774 24700 24830 28650 29796 36290 37050 37245 43548 47177 49660 54435 57300 62075 72580 74100 74490 90725 94354 108870 124150 141531 148980 181450 186225 188708 217740 235885 248300 272175 283062 362900 372450 471770 544350 566124 707655 744900 943540 1088700 1179425 1415310 2358850 2830620 3538275 4717700 7076550 14153100