Search a number
-
+
85041340 = 22519297717
BaseRepresentation
bin1010001000110…
…10000010111100
312221000112210021
411010122002330
5133232310330
612234421524
72051560636
oct504320274
9187015707
1085041340
11440048aa
12245918a4
1314806c27
14b419a56
1576ec67a
hex511a0bc

85041340 has 48 divisors (see below), whose sum is σ = 194493600. Its totient is φ = 31110912.

The previous prime is 85041337. The next prime is 85041343. The reversal of 85041340 is 4314058.

It is an interprime number because it is at equal distance from previous prime (85041337) and next prime (85041343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85041343) 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, 7162 + ... + 14878.

It is an arithmetic number, because the mean of its divisors is an integer number (4051950).

Almost surely, 285041340 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 85041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97246800).

85041340 is an abundant number, since it is smaller than the sum of its proper divisors (109452260).

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

85041340 is a wasteful number, since it uses less digits than its factorization.

85041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 85041340 is about 9221.7861610428. The cubic root of 85041340 is about 439.7542360312.

Adding to 85041340 its reverse (4314058), we get a palindrome (89355398).

The spelling of 85041340 in words is "eighty-five million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 7717 11020 15434 30868 38585 77170 146623 154340 223793 293246 447586 586492 733115 895172 1118965 1466230 2237930 2932460 4252067 4475860 8504134 17008268 21260335 42520670 85041340