Search a number
-
+
136107216 = 243671667
BaseRepresentation
bin10000001110011…
…01010011010000
3100111002222000000
420013031103100
5234320412331
621301130000
73241615020
oct1007152320
9314088000
10136107216
116a913403
12396b9900
132227651b
141410da80
15be380e6
hex81cd4d0

136107216 has 140 divisors (see below), whose sum is σ = 452134752. Its totient is φ = 38864448.

The previous prime is 136107211. The next prime is 136107221. The reversal of 136107216 is 612701631.

It is an interprime number because it is at equal distance from previous prime (136107211) and next prime (136107221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 136107216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136107211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80815 + ... + 82481.

Almost surely, 2136107216 is an apocalyptic number.

136107216 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 136107216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226067376).

136107216 is an abundant number, since it is smaller than the sum of its proper divisors (316027536).

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

136107216 is an equidigital number, since it uses as much as digits as its factorization.

136107216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 136107216 is about 11666.4997321390. The cubic root of 136107216 is about 514.3914211286.

Adding to 136107216 its reverse (612701631), we get a palindrome (748808847).

The spelling of 136107216 in words is "one hundred thirty-six million, one hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1667 1701 1944 2268 2916 3024 3334 3402 3888 4536 5001 5103 5832 6668 6804 9072 10002 10206 11664 11669 13336 13608 15003 20004 20412 23338 26672 27216 30006 35007 40008 40824 45009 46676 60012 70014 80016 81648 90018 93352 105021 120024 135027 140028 180036 186704 210042 240048 270054 280056 315063 360072 405081 420084 540108 560112 630126 720144 810162 840168 945189 1080216 1215243 1260252 1620324 1680336 1890378 2160432 2430486 2520504 2835567 3240648 3780756 4860972 5041008 5671134 6481296 7561512 8506701 9721944 11342268 15123024 17013402 19443888 22684536 34026804 45369072 68053608 136107216