Search a number
-
+
36181668 = 22323337389
BaseRepresentation
bin1000101000000…
…1011010100100
32112002012220210
42022001122210
533230303133
63331255420
7616352625
oct212013244
975065823
1036181668
1119472906
121014a570
13765a893
144b3ba4c
15329a763
hex22816a4

36181668 has 48 divisors (see below), whose sum is σ = 88583040. Its totient is φ = 11472384.

The previous prime is 36181667. The next prime is 36181687. The reversal of 36181668 is 86618163.

It is a super-2 number, since 2×361816682 = 2618226198524448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36181667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92818 + ... + 93206.

It is an arithmetic number, because the mean of its divisors is an integer number (1845480).

Almost surely, 236181668 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 36181668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291520).

36181668 is an abundant number, since it is smaller than the sum of its proper divisors (52401372).

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

36181668 is a wasteful number, since it uses less digits than its factorization.

36181668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 754 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 36181668 is about 6015.1199489287. The cubic root of 36181668 is about 330.7472140717.

The spelling of 36181668 in words is "thirty-six million, one hundred eighty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 337 389 674 778 1011 1167 1348 1556 2022 2334 4044 4668 7751 8947 15502 17894 23253 26841 31004 35788 46506 53682 93012 107364 131093 262186 393279 524372 786558 1573116 3015139 6030278 9045417 12060556 18090834 36181668