Search a number
-
+
135510660 = 223251939623
BaseRepresentation
bin10000001001110…
…11101010000100
3100102222122200100
420010323222010
5234142320120
621240244100
73233551545
oct1004735204
9312878610
10135510660
116a54618a
1239470630
13220c7b2c
1413dd64cc
15bd6b490
hex813ba84

135510660 has 72 divisors (see below), whose sum is σ = 432694080. Its totient is φ = 34233408.

The previous prime is 135510659. The next prime is 135510667. The reversal of 135510660 is 66015531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135510667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16392 + ... + 23231.

It is an arithmetic number, because the mean of its divisors is an integer number (6009640).

Almost surely, 2135510660 is an apocalyptic number.

135510660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135510660 is an abundant number, since it is smaller than the sum of its proper divisors (297183420).

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

135510660 is a wasteful number, since it uses less digits than its factorization.

135510660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39657 (or 39652 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135510660 is about 11640.9046040246. The cubic root of 135510660 is about 513.6387970372.

The spelling of 135510660 in words is "one hundred thirty-five million, five hundred ten thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 39623 79246 118869 158492 198115 237738 356607 396230 475476 594345 713214 752837 792460 1188690 1426428 1505674 1783035 2258511 2377380 3011348 3566070 3764185 4517022 6775533 7132140 7528370 9034044 11292555 13551066 15056740 22585110 27102132 33877665 45170220 67755330 135510660