Search a number
-
+
2136717306 = 23483367433
BaseRepresentation
bin111111101011011…
…1011011111111010
312111220121111010000
41333112323133322
513333444423211
6552005133430
7103643540343
oct17726733772
95456544100
102136717306
119a7137379
124b76ba276
132808a5489
14163ac70ca
15c78bb656
hex7f5bb7fa

2136717306 has 80 divisors (see below), whose sum is σ = 4869938304. Its totient is φ = 700119936.

The previous prime is 2136717293. The next prime is 2136717307. The reversal of 2136717306 is 6037176312.

It is not an unprimeable number, because it can be changed into a prime (2136717307) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4934466 + ... + 4934898.

Almost surely, 22136717306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136717306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434969152).

2136717306 is an abundant number, since it is smaller than the sum of its proper divisors (2733220998).

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

2136717306 is a wasteful number, since it uses less digits than its factorization.

2136717306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2136717306 is about 46224.6395983787. The cubic root of 2136717306 is about 1287.9994844108. Note that the first 3 decimals are identical.

The spelling of 2136717306 in words is "two billion, one hundred thirty-six million, seven hundred seventeen thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 367 433 498 734 747 866 1101 1299 1494 2202 2241 2598 3303 3897 4482 6606 6723 7794 9909 11691 13446 19818 23382 29727 30461 35073 35939 59454 60922 70146 71878 91383 107817 158911 182766 215634 274149 317822 323451 476733 548298 646902 822447 953466 970353 1430199 1644894 1940706 2467341 2860398 2911059 4290597 4934682 5822118 8581194 12871791 13189613 25743582 26379226 39568839 79137678 118706517 237413034 356119551 712239102 1068358653 2136717306