Search a number
-
+
135614346 = 23743611231
BaseRepresentation
bin10000001010101…
…00111110001010
3100110011220220120
420011110332022
5234204124341
621242404110
73234463050
oct1005247612
9313156816
10135614346
116a60707a
1239500636
132213309a
14140221d0
15bd8c066
hex8154f8a

135614346 has 64 divisors (see below), whose sum is σ = 322646016. Its totient is φ = 37195200.

The previous prime is 135614329. The next prime is 135614357. The reversal of 135614346 is 643416531.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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, 109551 + ... + 110781.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2135614346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135614346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161323008).

135614346 is an abundant number, since it is smaller than the sum of its proper divisors (187031670).

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

135614346 is a wasteful number, since it uses less digits than its factorization.

135614346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347.

The product of its digits is 25920, while the sum is 33.

The square root of 135614346 is about 11645.3572723210. The cubic root of 135614346 is about 513.7697672375.

The spelling of 135614346 in words is "one hundred thirty-five million, six hundred fourteen thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 43 61 86 122 129 183 258 301 366 427 602 854 903 1231 1281 1806 2462 2562 2623 3693 5246 7386 7869 8617 15738 17234 18361 25851 36722 51702 52933 55083 75091 105866 110166 150182 158799 225273 317598 370531 450546 525637 741062 1051274 1111593 1576911 2223186 3153822 3228913 6457826 9686739 19373478 22602391 45204782 67807173 135614346