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13848030 = 2335717431
BaseRepresentation
bin110100110100…
…110111011110
3222001112221000
4310310313132
512021114110
61212451130
7225464160
oct64646736
928045830
1013848030
1178a9259
124779aa6
132b3b201
141ba6930
1513381c0
hexd34dde

13848030 has 128 divisors (see below), whose sum is σ = 44789760. Its totient is φ = 2972160.

The previous prime is 13848019. The next prime is 13848031. The reversal of 13848030 is 3084831.

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

It is a junction number, because it is equal to n+sod(n) for n = 13847985 and 13848003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13848031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31915 + ... + 32345.

It is an arithmetic number, because the mean of its divisors is an integer number (349920).

Almost surely, 213848030 is an apocalyptic number.

13848030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13848030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394880).

13848030 is an abundant number, since it is smaller than the sum of its proper divisors (30941730).

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

13848030 is a wasteful number, since it uses less digits than its factorization.

13848030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13848030 is about 3721.2941297350. The cubic root of 13848030 is about 240.1389820011.

The spelling of 13848030 in words is "thirteen million, eight hundred forty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 431 459 510 595 630 714 765 862 918 945 1071 1190 1293 1530 1785 1890 2142 2155 2295 2586 3017 3213 3570 3879 4310 4590 5355 6034 6426 6465 7327 7758 9051 10710 11637 12930 14654 15085 16065 18102 19395 21981 23274 27153 30170 32130 36635 38790 43962 45255 51289 54306 58185 65943 73270 81459 90510 102578 109905 116370 131886 135765 153867 162918 197829 219810 256445 271530 307734 329715 395658 407295 461601 512890 659430 769335 814590 923202 989145 1384803 1538670 1978290 2308005 2769606 4616010 6924015 13848030