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19928336 = 242921481
BaseRepresentation
bin100110000000…
…1010100010000
31101111110112112
41030001110100
520100201321
61551044452
7331250051
oct114012420
941443475
1019928336
11102814aa
126810728
13418991c
14290a728
151b39a5b
hex1301510

19928336 has 30 divisors (see below), whose sum is σ = 40015482. Its totient is φ = 9614080.

The previous prime is 19928333. The next prime is 19928339. The reversal of 19928336 is 63382991.

It is an interprime number because it is at equal distance from previous prime (19928333) and next prime (19928339).

It can be written as a sum of positive squares in 3 ways, for example, as 2755600 + 17172736 = 1660^2 + 4144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19928293 and 19928302.

It is not an unprimeable number, because it can be changed into a prime (19928333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12716 + ... + 14196.

Almost surely, 219928336 is an apocalyptic number.

19928336 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 19928336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007741).

19928336 is an abundant number, since it is smaller than the sum of its proper divisors (20087146).

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

19928336 is a wasteful number, since it uses less digits than its factorization.

19928336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1512 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 19928336 is about 4464.1164859354. The cubic root of 19928336 is about 271.1171636102.

The spelling of 19928336 in words is "nineteen million, nine hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1481 1682 2962 3364 5924 6728 11848 13456 23696 42949 85898 171796 343592 687184 1245521 2491042 4982084 9964168 19928336