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19834668 = 22327312539
BaseRepresentation
bin100101110101…
…0011100101100
31101022201001100
41023222130230
520034202133
61545043100
7330410010
oct113523454
941281040
1019834668
1110218097
126786490
1341560b9
1428c4540
151b1be13
hex12ea72c

19834668 has 72 divisors (see below), whose sum is σ = 59171840. Its totient is φ = 5482080.

The previous prime is 19834603. The next prime is 19834681. The reversal of 19834668 is 86643891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6543 + ... + 9081.

Almost surely, 219834668 is an apocalyptic number.

19834668 is a gapful number since it is divisible by the number (18) 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 19834668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29585920).

19834668 is an abundant number, since it is smaller than the sum of its proper divisors (39337172).

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

19834668 is a wasteful number, since it uses less digits than its factorization.

19834668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2582 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 19834668 is about 4453.6129153756. The cubic root of 19834668 is about 270.6917242717.

It can be divided in two parts, 19834 and 668, that added together give a palindrome (20502).

The spelling of 19834668 in words is "nineteen million, eight hundred thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2539 2604 3906 5078 7617 7812 10156 15234 17773 22851 30468 35546 45702 53319 71092 78709 91404 106638 157418 159957 213276 236127 314836 319914 472254 550963 639828 708381 944508 1101926 1416762 1652889 2203852 2833524 3305778 4958667 6611556 9917334 19834668