Search a number
-
+
11934000 = 2433531317
BaseRepresentation
bin101101100001…
…100100110000
3211110022101000
4231201210300
511023342000
61103442000
7203303001
oct55414460
924408330
1011934000
116811211
123bb6300
13261ac50
1418291a8
1510ab000
hexb61930

11934000 has 320 divisors, whose sum is σ = 48746880. Its totient is φ = 2764800.

The previous prime is 11933981. The next prime is 11934023. The reversal of 11934000 is 43911.

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 63 ways as a sum of consecutive naturals, for example, 701992 + ... + 702008.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 211934000 is an apocalyptic number.

11934000 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 11934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

11934000 is an abundant number, since it is smaller than the sum of its proper divisors (36812880).

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

11934000 is a wasteful number, since it uses less digits than its factorization.

11934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

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

The square root of 11934000 is about 3454.5622009163. The cubic root of 11934000 is about 228.5223480928.

Adding to 11934000 its reverse (43911), we get a palindrome (11977911).

The spelling of 11934000 in words is "eleven million, nine hundred thirty-four thousand".