Search a number
-
+
136565832 = 233134767139
BaseRepresentation
bin10000010001111…
…01010001001000
3100111222021002210
420020331101020
5234430101312
621315025120
73245535054
oct1010752110
9314867083
10136565832
11700a6a27
123989b1a0
13223a71b0
14141ccc64
15bec8e3c
hex823d448

136565832 has 128 divisors (see below), whose sum is σ = 383846400. Its totient is φ = 40220928.

The previous prime is 136565827. The next prime is 136565839. The reversal of 136565832 is 238565631.

136565832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (136565839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982419 + ... + 982557.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2136565832 is an apocalyptic number.

136565832 is a gapful number since it is divisible by the number (12) 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 136565832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).

136565832 is an abundant number, since it is smaller than the sum of its proper divisors (247280568).

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

136565832 is a wasteful number, since it uses less digits than its factorization.

136565832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 136565832 is about 11686.1384554523. The cubic root of 136565832 is about 514.9685241705.

The spelling of 136565832 in words is "one hundred thirty-six million, five hundred sixty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 67 78 94 104 134 139 141 156 188 201 268 278 282 312 376 402 417 536 556 564 611 804 834 871 1112 1128 1222 1608 1668 1742 1807 1833 2444 2613 3149 3336 3484 3614 3666 4888 5226 5421 6298 6533 6968 7228 7332 9313 9447 10452 10842 12596 13066 14456 14664 18626 18894 19599 20904 21684 25192 26132 27939 37252 37788 39198 40937 43368 52264 55878 74504 75576 78396 81874 84929 111756 121069 122811 156792 163748 169858 223512 242138 245622 254787 327496 339716 363207 437711 484276 491244 509574 679432 726414 875422 968552 982488 1019148 1313133 1452828 1750844 2038296 2626266 2905656 3501688 5252532 5690243 10505064 11380486 17070729 22760972 34141458 45521944 68282916 136565832