Search a number
-
+
36200136 = 23371511427
BaseRepresentation
bin1000101000010…
…1111011001000
32112010011020210
42022011323020
533231401021
63331521120
7616460520
oct212057310
975104223
1036200136
1119485775
12101591a0
1376660cb
144b44680
1532a0e76
hex2285ec8

36200136 has 64 divisors (see below), whose sum is σ = 104186880. Its totient is φ = 10267200.

The previous prime is 36200119. The next prime is 36200141. The reversal of 36200136 is 63100263.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 24655 + ... + 26081.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 236200136 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 36200136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

36200136 is an abundant number, since it is smaller than the sum of its proper divisors (67986744).

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

36200136 is a wasteful number, since it uses less digits than its factorization.

36200136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36200136 is about 6016.6548845683. The cubic root of 36200136 is about 330.8034782972.

Adding to 36200136 its reverse (63100263), we get a palindrome (99300399).

The spelling of 36200136 in words is "thirty-six million, two hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 151 168 302 453 604 906 1057 1208 1427 1812 2114 2854 3171 3624 4228 4281 5708 6342 8456 8562 9989 11416 12684 17124 19978 25368 29967 34248 39956 59934 79912 119868 215477 239736 430954 646431 861908 1292862 1508339 1723816 2585724 3016678 4525017 5171448 6033356 9050034 12066712 18100068 36200136