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19230120 = 23325713587
BaseRepresentation
bin100100101011…
…0110110101000
31100011222202200
41021112312220
514410330440
61524100200
7322311330
oct111266650
940158680
1019230120
11a944968
126534660
133ca3b90
1427a80c0
151a4cc30
hex1256da8

19230120 has 192 divisors, whose sum is σ = 77051520. Its totient is φ = 4050432.

The previous prime is 19230083. The next prime is 19230131. The reversal of 19230120 is 2103291.

It is a happy number.

It is a super-3 number, since 3×192301203 (a number of 23 digits) contains 333 as substring.

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 = 19230093 and 19230102.

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, 32467 + ... + 33053.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 219230120 is an apocalyptic number.

19230120 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 19230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

19230120 is an abundant number, since it is smaller than the sum of its proper divisors (57821400).

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

19230120 is a wasteful number, since it uses less digits than its factorization.

19230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

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

The square root of 19230120 is about 4385.2160722135. The cubic root of 19230120 is about 267.9131299349.

The spelling of 19230120 in words is "nineteen million, two hundred thirty thousand, one hundred twenty".