Search a number
-
+
85136740 = 22513476967
BaseRepresentation
bin1010001001100…
…01010101100100
312221012101122121
411010301111210
5133243333430
612240435324
72052436033
oct504612544
9187171577
1085136740
114406a547
1224618b44
131483b490
14b44271a
15771aa7a
hex5131564

85136740 has 48 divisors (see below), whose sum is σ = 196664832. Its totient is φ = 30761856.

The previous prime is 85136707. The next prime is 85136743. The reversal of 85136740 is 4763158.

It is a junction number, because it is equal to n+sod(n) for n = 85136696 and 85136705.

It is not an unprimeable number, because it can be changed into a prime (85136743) 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 15 ways as a sum of consecutive naturals, for example, 8737 + ... + 15703.

It is an arithmetic number, because the mean of its divisors is an integer number (4097184).

Almost surely, 285136740 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 85136740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98332416).

85136740 is an abundant number, since it is smaller than the sum of its proper divisors (111528092).

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

85136740 is a wasteful number, since it uses less digits than its factorization.

85136740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 85136740 is about 9226.9572449427. The cubic root of 85136740 is about 439.9186144238.

Adding to 85136740 its reverse (4763158), we get a palindrome (89899898).

The spelling of 85136740 in words is "eighty-five million, one hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 6967 12220 13934 27868 34835 69670 90571 139340 181142 327449 362284 452855 654898 905710 1309796 1637245 1811420 3274490 4256837 6548980 8513674 17027348 21284185 42568370 85136740