Search a number
-
+
19530016 = 2511113491
BaseRepresentation
bin100101010000…
…0000100100000
31100202020010221
41022200010200
514444430031
61534332424
7325000552
oct112400440
940666127
1019530016
111002a210
12665a114
13407a52c
1428454d2
151aaba11
hex12a0120

19530016 has 48 divisors (see below), whose sum is σ = 42402528. Its totient is φ = 8780800.

The previous prime is 19530011. The next prime is 19530019. The reversal of 19530016 is 61003591.

It is not an unprimeable number, because it can be changed into a prime (19530011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39531 + ... + 40021.

It is an arithmetic number, because the mean of its divisors is an integer number (883386).

Almost surely, 219530016 is an apocalyptic number.

19530016 is a gapful number since it is divisible by the number (16) 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 19530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21201264).

19530016 is an abundant number, since it is smaller than the sum of its proper divisors (22872512).

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

19530016 is a wasteful number, since it uses less digits than its factorization.

19530016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 19530016 is about 4419.2777690478. The cubic root of 19530016 is about 269.2986645134.

It can be divided in two parts, 19 and 530016, that added together give a palindrome (530035).

The spelling of 19530016 in words is "nineteen million, five hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 226 352 452 491 904 982 1243 1808 1964 2486 3616 3928 4972 5401 7856 9944 10802 15712 19888 21604 39776 43208 55483 86416 110966 172832 221932 443864 610313 887728 1220626 1775456 2441252 4882504 9765008 19530016