Search a number
-
+
19030032 = 2433722931
BaseRepresentation
bin100100010011…
…0000000010000
31022210211022000
41020212000100
514332430112
61515514000
7320516100
oct110460020
938724260
1019030032
11a8185aa
126458900
133c33a98
142755200
151a0d7dc
hex1226010

19030032 has 240 divisors, whose sum is σ = 67852800. Its totient is φ = 5080320.

The previous prime is 19030031. The next prime is 19030043. The reversal of 19030032 is 23003091.

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 = 19029987 and 19030014.

It is not an unprimeable number, because it can be changed into a prime (19030031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613857 + ... + 613887.

It is an arithmetic number, because the mean of its divisors is an integer number (282720).

Almost surely, 219030032 is an apocalyptic number.

19030032 is a gapful number since it is divisible by the number (12) 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 19030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926400).

19030032 is an abundant number, since it is smaller than the sum of its proper divisors (48822768).

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

19030032 is a wasteful number, since it uses less digits than its factorization.

19030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 19030032 is about 4362.3424899932. The cubic root of 19030032 is about 266.9806828595.

The spelling of 19030032 in words is "nineteen million, thirty thousand, thirty-two".