Search a number
-
+
116384532 = 223111098089
BaseRepresentation
bin1101110111111…
…10001100010100
322002222221120020
412323332030110
5214243301112
615314305140
72612152335
oct673761424
9262887506
10116384532
115a772470
1232b881b0
131b15c3b4
141165828c
15a33e48c
hex6efe314

116384532 has 48 divisors (see below), whose sum is σ = 299006400. Its totient is φ = 34940160.

The previous prime is 116384507. The next prime is 116384663. The reversal of 116384532 is 235483611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 116384493 and 116384502.

It is a congruent number.

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, 10344 + ... + 18432.

It is an arithmetic number, because the mean of its divisors is an integer number (6229300).

Almost surely, 2116384532 is an apocalyptic number.

116384532 is a gapful number since it is divisible by the number (12) 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 116384532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149503200).

116384532 is an abundant number, since it is smaller than the sum of its proper divisors (182621868).

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

116384532 is a wasteful number, since it uses less digits than its factorization.

116384532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8216 (or 8214 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 116384532 is about 10788.1662946026. The cubic root of 116384532 is about 488.2381989063.

The spelling of 116384532 in words is "one hundred sixteen million, three hundred eighty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 8089 14388 16178 24267 32356 48534 88979 97068 177958 266937 355916 533874 881701 1067748 1763402 2645103 3526804 5290206 9698711 10580412 19397422 29096133 38794844 58192266 116384532