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135235980 = 22345117589
BaseRepresentation
bin10000000111110…
…00100110001100
3100102110200220000
420003320212030
5234110022410
621230324300
73231325665
oct1003704614
9312420800
10135235980
116a378880
1239359690
132202cab9
1413d6436c
15bd14dc0
hex80f898c

135235980 has 120 divisors (see below), whose sum is σ = 462868560. Its totient is φ = 32780160.

The previous prime is 135235979. The next prime is 135235987. The reversal of 135235980 is 89532531.

135235980 is a `hidden beast` number, since 1 + 3 + 523 + 59 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135235987) 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 39 ways as a sum of consecutive naturals, for example, 14026 + ... + 21614.

It is an arithmetic number, because the mean of its divisors is an integer number (3857238).

Almost surely, 2135235980 is an apocalyptic number.

135235980 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 135235980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231434280).

135235980 is an abundant number, since it is smaller than the sum of its proper divisors (327632580).

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

135235980 is a wasteful number, since it uses less digits than its factorization.

135235980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135235980 is about 11629.1005671118. The cubic root of 135235980 is about 513.2915138061.

It can be divided in two parts, 13523 and 5980, that added together give a triangular number (19503 = T197).

The spelling of 135235980 in words is "one hundred thirty-five million, two hundred thirty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 7589 8910 15178 17820 22767 30356 37945 45534 68301 75890 83479 91068 113835 136602 151780 166958 204903 227670 250437 273204 333916 341505 409806 417395 455340 500874 614709 683010 751311 819612 834790 1001748 1024515 1229418 1252185 1366020 1502622 1669580 2049030 2253933 2458836 2504370 3005244 3073545 3756555 4098060 4507866 5008740 6147090 6761799 7513110 9015732 11269665 12294180 13523598 15026220 22539330 27047196 33808995 45078660 67617990 135235980