Search a number
-
+
19104120 = 2333572192
BaseRepresentation
bin100100011100…
…0000101111000
31022221120221000
41020320011320
514342312440
61521245000
7321245100
oct110700570
938846830
1019104120
11a869232
126493760
133c5b719
142774200
151a25730
hex1238178

19104120 has 288 divisors, whose sum is σ = 78181200. Its totient is φ = 4136832.

The previous prime is 19104109. The next prime is 19104121. The reversal of 19104120 is 2140191.

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

It is a junction number, because it is equal to n+sod(n) for n = 19104093 and 19104102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19104121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1005471 + ... + 1005489.

Almost surely, 219104120 is an apocalyptic number.

19104120 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 19104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39090600).

19104120 is an abundant number, since it is smaller than the sum of its proper divisors (59077080).

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

19104120 is a wasteful number, since it uses less digits than its factorization.

19104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

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

The square root of 19104120 is about 4370.8260088912. The cubic root of 19104120 is about 267.3267052390.

The spelling of 19104120 in words is "nineteen million, one hundred four thousand, one hundred twenty".