Search a number
-
+
135041880 = 233517531249
BaseRepresentation
bin10000000110010…
…01001101011000
3100102002211122010
420003021031120
5234032320010
621222225520
73226560051
oct1003111530
9312084563
10135041880
116a255a66
12392852a0
1321c9264c
1413d13728
15bcc7620
hex80c9358

135041880 has 128 divisors (see below), whose sum is σ = 437400000. Its totient is φ = 33226752.

The previous prime is 135041849. The next prime is 135041891. The reversal of 135041880 is 88140531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107496 + ... + 108744.

Almost surely, 2135041880 is an apocalyptic number.

135041880 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 135041880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218700000).

135041880 is an abundant number, since it is smaller than the sum of its proper divisors (302358120).

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

135041880 is a wasteful number, since it uses less digits than its factorization.

135041880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 135041880 is about 11620.7521271215. The cubic root of 135041880 is about 513.0458257723.

The spelling of 135041880 in words is "one hundred thirty-five million, forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 53 60 68 85 102 106 120 136 159 170 204 212 255 265 318 340 408 424 510 530 636 680 795 901 1020 1060 1249 1272 1590 1802 2040 2120 2498 2703 3180 3604 3747 4505 4996 5406 6245 6360 7208 7494 9010 9992 10812 12490 13515 14988 18020 18735 21233 21624 24980 27030 29976 36040 37470 42466 49960 54060 63699 66197 74940 84932 106165 108120 127398 132394 149880 169864 198591 212330 254796 264788 318495 330985 397182 424660 509592 529576 636990 661970 794364 849320 992955 1125349 1273980 1323940 1588728 1985910 2250698 2547960 2647880 3376047 3971820 4501396 5626745 6752094 7943640 9002792 11253490 13504188 16880235 22506980 27008376 33760470 45013960 67520940 135041880