Search a number
-
+
86336540 = 22517376863
BaseRepresentation
bin1010010010101…
…10010000011100
320000110100110122
411021112100130
5134100232130
612322254112
72065564013
oct511262034
9200410418
1086336540
1144809a14
1224ab7338
1314b6b614
14b675a7a
1578a62e5
hex525641c

86336540 has 48 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 31620096.

The previous prime is 86336539. The next prime is 86336543. The reversal of 86336540 is 4563368.

It is a self number, because there is not a number n which added to its sum of digits gives 86336540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86336543) 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, 9149 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (4108104).

Almost surely, 286336540 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 86336540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

86336540 is an abundant number, since it is smaller than the sum of its proper divisors (110852452).

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

86336540 is a wasteful number, since it uses less digits than its factorization.

86336540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 86336540 is about 9291.7457993641. The cubic root of 86336540 is about 441.9755178457.

The spelling of 86336540 in words is "eighty-six million, three hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 6863 12580 13726 27452 34315 68630 116671 137260 233342 253931 466684 507862 583355 1015724 1166710 1269655 2333420 2539310 4316827 5078620 8633654 17267308 21584135 43168270 86336540