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135411696 = 2433726397
BaseRepresentation
bin10000001001000…
…11011111110000
3100102210121221000
420010203133300
5234131133241
621234202000
73232660200
oct1004433760
9312717830
10135411696
116a4888a2
1239423300
1322091a84
1413dac400
15bd4beb6
hex81237f0

135411696 has 120 divisors (see below), whose sum is σ = 452210640. Its totient is φ = 38683008.

The previous prime is 135411691. The next prime is 135411719. The reversal of 135411696 is 696114531.

135411696 is a `hidden beast` number, since 13 + 541 + 16 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135411696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135411691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17970 + ... + 24366.

It is an arithmetic number, because the mean of its divisors is an integer number (3768422).

Almost surely, 2135411696 is an apocalyptic number.

135411696 is a gapful number since it is divisible by the number (16) 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 135411696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226105320).

135411696 is an abundant number, since it is smaller than the sum of its proper divisors (316798944).

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

135411696 is a wasteful number, since it uses less digits than its factorization.

135411696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6409 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 135411696 is about 11636.6531270808. The cubic root of 135411696 is about 513.5137290680.

The spelling of 135411696 in words is "one hundred thirty-five million, four hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 6397 7056 10584 12794 19191 21168 25588 38382 44779 51176 57573 76764 89558 102352 115146 134337 153528 172719 179116 230292 268674 307056 313453 345438 358232 403011 460584 537348 626906 690876 716464 806022 921168 940359 1074696 1209033 1253812 1381752 1612044 1880718 2149392 2418066 2507624 2763504 2821077 3224088 3761436 4836132 5015248 5642154 6448176 7522872 8463231 9672264 11284308 15045744 16926462 19344528 22568616 33852924 45137232 67705848 135411696