Search a number
-
+
116400240 = 24345112371
BaseRepresentation
bin1101111000000…
…10000001110000
322010000202010000
412330002001300
5214244301430
615314510000
72612246205
oct674020160
9263022100
10116400240
115a783250
1232b95300
131b1665a8
141165dcac
15a343e60
hex6f02070

116400240 has 400 divisors, whose sum is σ = 466684416. Its totient is φ = 26611200.

The previous prime is 116400227. The next prime is 116400281. The reversal of 116400240 is 42004611.

116400240 is a `hidden beast` number, since 1 + 1 + 640 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1639405 + ... + 1639475.

Almost surely, 2116400240 is an apocalyptic number.

116400240 is a gapful number since it is divisible by the number (10) 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 116400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233342208).

116400240 is an abundant number, since it is smaller than the sum of its proper divisors (350284176).

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

116400240 is a wasteful number, since it uses less digits than its factorization.

116400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 116400240 is about 10788.8942899632. The cubic root of 116400240 is about 488.2601631670.

Adding to 116400240 its reverse (42004611), we get a palindrome (158404851).

The spelling of 116400240 in words is "one hundred sixteen million, four hundred thousand, two hundred forty".