Search a number
-
+
135995310 = 232511137369
BaseRepresentation
bin10000001101100…
…01111110101110
3100110220021111100
420012301332232
5234303322220
621254503530
73240640533
oct1006617656
9313807440
10135995310
116a847320
1239664ba6
13222375c9
14140c0d8a
15be14d90
hex81b1fae

135995310 has 48 divisors (see below), whose sum is σ = 385734960. Its totient is φ = 32968320.

The previous prime is 135995287. The next prime is 135995351. The reversal of 135995310 is 13599531.

135995310 is a `hidden beast` number, since 1 + 3 + 599 + 53 + 10 = 666.

It is a super-2 number, since 2×1359953102 = 36989448683992200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67695 + ... + 69674.

It is an arithmetic number, because the mean of its divisors is an integer number (8036145).

Almost surely, 2135995310 is an apocalyptic number.

135995310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135995310 is an abundant number, since it is smaller than the sum of its proper divisors (249739650).

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

135995310 is a wasteful number, since it uses less digits than its factorization.

135995310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137393 (or 137390 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 135995310 is about 11661.7027058659. The cubic root of 135995310 is about 514.2504066369.

It can be divided in two parts, 1359 and 95310, that added together give a palindrome (96669).

The spelling of 135995310 in words is "one hundred thirty-five million, nine hundred ninety-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 137369 274738 412107 686845 824214 1236321 1373690 1511059 2060535 2472642 3022118 4121070 4533177 6181605 7555295 9066354 12363210 13599531 15110590 22665885 27199062 45331770 67997655 135995310