Search a number
-
+
13155030 = 23257219157
BaseRepresentation
bin110010001011…
…101011010110
3220202100022100
4302023223112
511331430110
61145542530
7216546600
oct62135326
926670270
1013155030
117475629
1244a4a46
132957955
141a66170
15124cbc0
hexc8bad6

13155030 has 144 divisors (see below), whose sum is σ = 42148080. Its totient is φ = 2830464.

The previous prime is 13155013. The next prime is 13155031. The reversal of 13155030 is 3055131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13154994 and 13155012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83712 + ... + 83868.

It is an arithmetic number, because the mean of its divisors is an integer number (292695).

Almost surely, 213155030 is an apocalyptic number.

13155030 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 13155030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074040).

13155030 is an abundant number, since it is smaller than the sum of its proper divisors (28993050).

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

13155030 is a wasteful number, since it uses less digits than its factorization.

13155030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13155030 is about 3626.9863523316. The cubic root of 13155030 is about 236.0644633823.

The spelling of 13155030 in words is "thirteen million, one hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 157 171 190 210 245 266 285 294 314 315 342 399 441 471 490 570 630 665 735 785 798 855 882 931 942 1099 1197 1330 1413 1470 1570 1710 1862 1995 2198 2205 2355 2394 2793 2826 2983 3297 3990 4410 4655 4710 5495 5586 5966 5985 6594 7065 7693 8379 8949 9310 9891 10990 11970 13965 14130 14915 15386 16485 16758 17898 19782 20881 23079 26847 27930 29830 32970 38465 41762 41895 44745 46158 49455 53694 62643 69237 76930 83790 89490 98910 104405 115395 125286 134235 138474 146167 187929 208810 230790 268470 292334 313215 346185 375858 438501 626430 692370 730835 877002 939645 1315503 1461670 1879290 2192505 2631006 4385010 6577515 13155030