Search a number
-
+
136465408 = 210711877
BaseRepresentation
bin10000010001001…
…00110000000000
3100111210011100101
420020210300000
5234413343113
621312532144
73244636222
oct1010446000
9314704311
10136465408
1170038532
1239851054
1322370581
14141a4412
15bea92dd
hex8224c00

136465408 has 44 divisors (see below), whose sum is σ = 276787152. Its totient is φ = 67235840.

The previous prime is 136465349. The next prime is 136465411. The reversal of 136465408 is 804564631.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71766 + ... + 73642.

Almost surely, 2136465408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138393576).

136465408 is an abundant number, since it is smaller than the sum of its proper divisors (140321744).

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

136465408 is an equidigital number, since it uses as much as digits as its factorization.

136465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 136465408 is about 11681.8409508091. The cubic root of 136465408 is about 514.8422654526.

The spelling of 136465408 in words is "one hundred thirty-six million, four hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1024 1136 1877 2272 3754 4544 7508 9088 15016 18176 30032 36352 60064 72704 120128 133267 240256 266534 480512 533068 961024 1066136 1922048 2132272 4264544 8529088 17058176 34116352 68232704 136465408