Search a number
-
+
118117440 = 263557231
BaseRepresentation
bin1110000101001…
…01010001000000
322020020222200000
413002211101000
5220214224230
615415400000
72632660500
oct702452100
9266228600
10118117440
1160746421
1233683000
131b61809c
1411989a00
15a582b60
hex70a5440

118117440 has 504 divisors, whose sum is σ = 505919232. Its totient is φ = 26127360.

The previous prime is 118117429. The next prime is 118117451. The reversal of 118117440 is 44711811.

It is an interprime number because it is at equal distance from previous prime (118117429) and next prime (118117451).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810225 + ... + 3810255.

It is an arithmetic number, because the mean of its divisors is an integer number (1003808).

Almost surely, 2118117440 is an apocalyptic number.

118117440 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 118117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

118117440 is an abundant number, since it is smaller than the sum of its proper divisors (387801792).

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

118117440 is an equidigital number, since it uses as much as digits as its factorization.

118117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 118117440 is about 10868.1847610353. The cubic root of 118117440 is about 490.6494788928.

The spelling of 118117440 in words is "one hundred eighteen million, one hundred seventeen thousand, four hundred forty".