Search a number
-
+
119214000 = 24325337179
BaseRepresentation
bin1110001101100…
…00111110110000
322022022200212100
413012300332300
5221004322000
615455100400
72645205453
oct706607660
9268280770
10119214000
1161325274
1233b11700
131b910239
1411b9349a
15a6eca00
hex71b0fb0

119214000 has 240 divisors, whose sum is σ = 430017120. Its totient is φ = 30758400.

The previous prime is 119213981. The next prime is 119214031. The reversal of 119214000 is 412911.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665911 + ... + 666089.

It is an arithmetic number, because the mean of its divisors is an integer number (1791738).

Almost surely, 2119214000 is an apocalyptic number.

119214000 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 119214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215008560).

119214000 is an abundant number, since it is smaller than the sum of its proper divisors (310803120).

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

119214000 is a wasteful number, since it uses less digits than its factorization.

119214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 119214000 is about 10918.5163827326. The cubic root of 119214000 is about 492.1631424076.

Adding to 119214000 its reverse (412911), we get a palindrome (119626911).

The spelling of 119214000 in words is "one hundred nineteen million, two hundred fourteen thousand".