Search a number
-
+
135263160 = 23325735147
BaseRepresentation
bin10000000111111…
…11001110111000
3100102112002011200
420003333032320
5234111410120
621231054200
73231501144
oct1003771670
9312462150
10135263160
116a39723a
1239371360
132203c296
1413d70224
15bd1ce90
hex80ff3b8

135263160 has 96 divisors (see below), whose sum is σ = 445713840. Its totient is φ = 35569152.

The previous prime is 135263159. The next prime is 135263173. The reversal of 135263160 is 61362531.

It is a super-2 number, since 2×1352631602 = 36592244906371200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23707 + ... + 28853.

Almost surely, 2135263160 is an apocalyptic number.

135263160 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 135263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222856920).

135263160 is an abundant number, since it is smaller than the sum of its proper divisors (310450680).

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

135263160 is a wasteful number, since it uses less digits than its factorization.

135263160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135263160 is about 11630.2691284424. The cubic root of 135263160 is about 513.3258989572.

The spelling of 135263160 in words is "one hundred thirty-five million, two hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5147 5256 6570 8760 10294 13140 15441 20588 25735 26280 30882 41176 46323 51470 61764 77205 92646 102940 123528 154410 185292 205880 231615 308820 370584 375731 463230 617640 751462 926460 1127193 1502924 1852920 1878655 2254386 3005848 3381579 3757310 4508772 5635965 6763158 7514620 9017544 11271930 13526316 15029240 16907895 22543860 27052632 33815790 45087720 67631580 135263160