Search a number
-
+
135502240 = 25517311607
BaseRepresentation
bin10000001001110…
…01100110100000
3100102222020010111
420010321212200
5234142032430
621240141104
73233515156
oct1004714640
9312866114
10135502240
116a53a925
1239467794
13220c4053
1413dd33d6
15bd68c2a
hex81399a0

135502240 has 96 divisors (see below), whose sum is σ = 350106624. Its totient is φ = 49336320.

The previous prime is 135502193. The next prime is 135502247. The reversal of 135502240 is 42205531.

It is not an unprimeable number, because it can be changed into a prime (135502247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83517 + ... + 85123.

It is an arithmetic number, because the mean of its divisors is an integer number (3646944).

Almost surely, 2135502240 is an apocalyptic number.

135502240 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 135502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175053312).

135502240 is an abundant number, since it is smaller than the sum of its proper divisors (214604384).

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

135502240 is a wasteful number, since it uses less digits than its factorization.

135502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 135502240 is about 11640.5429426638. The cubic root of 135502240 is about 513.6281584443.

Adding to 135502240 its reverse (42205531), we get a palindrome (177707771).

The spelling of 135502240 in words is "one hundred thirty-five million, five hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 80 85 124 136 155 160 170 248 272 310 340 496 527 544 620 680 992 1054 1240 1360 1607 2108 2480 2635 2720 3214 4216 4960 5270 6428 8035 8432 10540 12856 16070 16864 21080 25712 27319 32140 42160 49817 51424 54638 64280 84320 99634 109276 128560 136595 199268 218552 249085 257120 273190 398536 437104 498170 546380 797072 846889 874208 996340 1092760 1594144 1693778 1992680 2185520 3387556 3985360 4234445 4371040 6775112 7970720 8468890 13550224 16937780 27100448 33875560 67751120 135502240