Search a number
-
+
36621018 = 2337195099
BaseRepresentation
bin1000101110110…
…0101011011010
32112220112121000
42023230223122
533333333033
63344525430
7623162550
oct213545332
975815530
1036621018
1119742a05
1210320876
137782855
144c13bd0
153335a13
hex22ecada

36621018 has 64 divisors (see below), whose sum is σ = 97920000. Its totient is φ = 9910512.

The previous prime is 36621017. The next prime is 36621029. The reversal of 36621018 is 81012663.

36621018 is a `hidden beast` number, since 36 + 621 + 0 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36620982 and 36621000.

It is not an unprimeable number, because it can be changed into a prime (36621017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4633 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 236621018 is an apocalyptic number.

36621018 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36621018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960000).

36621018 is an abundant number, since it is smaller than the sum of its proper divisors (61298982).

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

36621018 is a wasteful number, since it uses less digits than its factorization.

36621018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36621018 is about 6051.5302197048. The cubic root of 36621018 is about 332.0805739019.

The spelling of 36621018 in words is "thirty-six million, six hundred twenty-one thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 5099 7182 10198 15297 30594 35693 45891 71386 91782 96881 107079 137673 193762 214158 275346 290643 321237 581286 642474 678167 871929 963711 1356334 1743858 1927422 2034501 2615787 4069002 5231574 6103503 12207006 18310509 36621018