Search a number
-
+
119412000 = 25325331107
BaseRepresentation
bin1110001111000…
…01010100100000
322022200202110200
413013201110200
5221032141000
615503225200
72646661641
oct707412440
9268622420
10119412000
1161450004
1233ba8200
131b97c3b6
1411c056c8
15a73b500
hex71e1520

119412000 has 288 divisors, whose sum is σ = 441552384. Its totient is φ = 30528000.

The previous prime is 119411993. The next prime is 119412001. The reversal of 119412000 is 214911.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119412001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115947 + ... + 1116053.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2119412000 is an apocalyptic number.

119412000 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 119412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

119412000 is an abundant number, since it is smaller than the sum of its proper divisors (322140384).

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

119412000 is a wasteful number, since it uses less digits than its factorization.

119412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

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

The square root of 119412000 is about 10927.5797869428. The cubic root of 119412000 is about 492.4354661335.

Adding to 119412000 its reverse (214911), we get a palindrome (119626911).

The spelling of 119412000 in words is "one hundred nineteen million, four hundred twelve thousand".