Search a number
-
+
18396936 = 2333531607
BaseRepresentation
bin100011000101…
…1011100001000
31021121122212000
41012023130020
514202200221
61454151000
7312241245
oct106133410
937548760
1018396936
11a425988
1261b2460
133a7187c
14262c5cc
151935e26
hex118b708

18396936 has 64 divisors (see below), whose sum is σ = 52099200. Its totient is φ = 6012864.

The previous prime is 18396893. The next prime is 18396947. The reversal of 18396936 is 63969381.

18396936 = 4362 + 4372 + ... + 5162.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18396891 and 18396900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10645 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (814050).

Almost surely, 218396936 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 18396936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049600).

18396936 is an abundant number, since it is smaller than the sum of its proper divisors (33702264).

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

18396936 is a wasteful number, since it uses less digits than its factorization.

18396936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1665 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 18396936 is about 4289.1649536944. The cubic root of 18396936 is about 263.9865695647.

The spelling of 18396936 in words is "eighteen million, three hundred ninety-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1607 1908 2862 3214 3816 4821 5724 6428 9642 11448 12856 14463 19284 28926 38568 43389 57852 85171 86778 115704 170342 173556 255513 340684 347112 511026 681368 766539 1022052 1533078 2044104 2299617 3066156 4599234 6132312 9198468 18396936