Search a number
-
+
119340000 = 2533541317
BaseRepresentation
bin1110001110011…
…11101111100000
322022120002201000
413013033233200
5221022340000
615501512000
72646242013
oct707175740
9268502630
10119340000
11614009aa
1233b72600
131b9556b0
1411bc737a
15a725000
hex71cfbe0

119340000 has 480 divisors, whose sum is σ = 495966240. Its totient is φ = 27648000.

The previous prime is 119339963. The next prime is 119340041. The reversal of 119340000 is 43911.

It is a tau number, because it is divible by the number of its divisors (480).

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, 7019992 + ... + 7020008.

It is an arithmetic number, because the mean of its divisors is an integer number (1033263).

Almost surely, 2119340000 is an apocalyptic number.

119340000 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 119340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247983120).

119340000 is an abundant number, since it is smaller than the sum of its proper divisors (376626240).

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

119340000 is a wasteful number, since it uses less digits than its factorization.

119340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 119340000 is about 10924.2848736199. The cubic root of 119340000 is about 492.3364741787.

Adding to 119340000 its reverse (43911), we get a palindrome (119383911).

The spelling of 119340000 in words is "one hundred nineteen million, three hundred forty thousand".