Search a number
-
+
18117936 = 2432472677
BaseRepresentation
bin100010100011…
…1010100110000
31021002111010200
41011013110300
514114233221
61444155200
7306666654
oct105072460
937074120
1018117936
11a255301
126098b00
1339a4895
142598a64
1518cd426
hex1147530

18117936 has 60 divisors (see below), whose sum is σ = 51803232. Its totient is φ = 5908608.

The previous prime is 18117923. The next prime is 18117959. The reversal of 18117936 is 63971181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18117936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5430 + ... + 8106.

Almost surely, 218117936 is an apocalyptic number.

18117936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18117936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25901616).

18117936 is an abundant number, since it is smaller than the sum of its proper divisors (33685296).

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

18117936 is a wasteful number, since it uses less digits than its factorization.

18117936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2729 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 18117936 is about 4256.5168859057. The cubic root of 18117936 is about 262.6452638159.

The spelling of 18117936 in words is "eighteen million, one hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 2677 3384 5354 6768 8031 10708 16062 21416 24093 32124 42832 48186 64248 96372 125819 128496 192744 251638 377457 385488 503276 754914 1006552 1132371 1509828 2013104 2264742 3019656 4529484 6039312 9058968 18117936