Search a number
-
+
135406092 = 223611131637
BaseRepresentation
bin10000001001000…
…10001000001100
3100102210100020110
420010202020030
5234130443332
621234120020
73232634643
oct1004421014
9312710213
10135406092
116a484668
1239420010
132208c363
1413daa35a
15bd4a4cc
hex812220c

135406092 has 48 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 43975680.

The previous prime is 135406081. The next prime is 135406111. The reversal of 135406092 is 290604531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81898 + ... + 83534.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2135406092 is an apocalyptic number.

135406092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135406092 is an abundant number, since it is smaller than the sum of its proper divisors (188760660).

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

135406092 is a wasteful number, since it uses less digits than its factorization.

135406092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 135406092 is about 11636.4123337049. The cubic root of 135406092 is about 513.5066450649.

The spelling of 135406092 in words is "one hundred thirty-five million, four hundred six thousand, ninety-two".

Divisors: 1 2 3 4 6 12 61 113 122 183 226 244 339 366 452 678 732 1356 1637 3274 4911 6548 6893 9822 13786 19644 20679 27572 41358 82716 99857 184981 199714 299571 369962 399428 554943 599142 739924 1109886 1198284 2219772 11283841 22567682 33851523 45135364 67703046 135406092