Search a number
-
+
136435216 = 2431436397
BaseRepresentation
bin10000010000111…
…01011000010000
3100111201121221011
420020131120100
5234411411331
621312140304
73244452211
oct1010353020
9314647834
10136435216
1170017885
1239837694
132235c8c8
1414197408
15bea03b1
hex821d610

136435216 has 40 divisors (see below), whose sum is σ = 279259904. Its totient is φ = 64471680.

The previous prime is 136435207. The next prime is 136435231. The reversal of 136435216 is 612534631.

It is a super-2 number, since 2×1364352162 = 37229136329933312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18130 + ... + 24526.

Almost surely, 2136435216 is an apocalyptic number.

136435216 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 136435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139629952).

136435216 is an abundant number, since it is smaller than the sum of its proper divisors (142824688).

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

136435216 is a wasteful number, since it uses less digits than its factorization.

136435216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6473 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 136435216 is about 11680.5486172525. The cubic root of 136435216 is about 514.8042942569.

Adding to 136435216 its reverse (612534631), we get a palindrome (748969847).

The spelling of 136435216 in words is "one hundred thirty-six million, four hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 1333 2666 5332 6397 10664 12794 21328 25588 51176 102352 198307 275071 396614 550142 793228 1100284 1586456 2200568 3172912 4401136 8527201 17054402 34108804 68217608 136435216