Search a number
-
+
81368136 = 233273113137
BaseRepresentation
bin1001101100110…
…01010001001000
312200002221002200
410312121101020
5131312240021
612024000200
72005421613
oct466312110
9180087080
1081368136
1141a260a3
1223300060
1313b1c035
14ab4117a
157224126
hex4d99448

81368136 has 96 divisors (see below), whose sum is σ = 227012760. Its totient is φ = 26320896.

The previous prime is 81368129. The next prime is 81368167. The reversal of 81368136 is 63186318.

It can be written as a sum of positive squares in 4 ways, for example, as 52272900 + 29095236 = 7230^2 + 5394^2 .

It is a super-2 number, since 2×813681362 = 13241547112228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 81368136.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 593860 + ... + 593996.

Almost surely, 281368136 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 81368136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113506380).

81368136 is an abundant number, since it is smaller than the sum of its proper divisors (145644624).

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

81368136 is a wasteful number, since it uses less digits than its factorization.

81368136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 81368136 is about 9020.4288146407. The cubic root of 81368136 is about 433.3293669591.

The spelling of 81368136 in words is "eighty-one million, three hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 113 137 146 219 226 274 292 339 411 438 452 548 584 657 678 822 876 904 1017 1096 1233 1314 1356 1644 1752 2034 2466 2628 2712 3288 4068 4932 5256 8136 8249 9864 10001 15481 16498 20002 24747 30003 30962 32996 40004 46443 49494 60006 61924 65992 74241 80008 90009 92886 98988 120012 123848 139329 148482 180018 185772 197976 240024 278658 296964 360036 371544 557316 593928 720072 1114632 1130113 2260226 3390339 4520452 6780678 9040904 10171017 13561356 20342034 27122712 40684068 81368136