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19730106 = 23211251397
BaseRepresentation
bin100101101000…
…0111010111010
31101010101121200
41023100322322
520022330411
61542515030
7326463114
oct113207272
941111550
1019730106
1110156580
126735a76
13411a626
1428983b4
151aeae56
hex12d0eba

19730106 has 48 divisors (see below), whose sum is σ = 46938528. Its totient is φ = 5940000.

The previous prime is 19730101. The next prime is 19730107. The reversal of 19730106 is 60103791.

It is a self number, because there is not a number n which added to its sum of digits gives 19730106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19730101) by changing a digit.

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, 49500 + ... + 49896.

It is an arithmetic number, because the mean of its divisors is an integer number (977886).

Almost surely, 219730106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19730106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469264).

19730106 is an abundant number, since it is smaller than the sum of its proper divisors (27208422).

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

19730106 is a wasteful number, since it uses less digits than its factorization.

19730106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 19730106 is about 4441.8583948613. The cubic root of 19730106 is about 270.2152193477.

Adding to 19730106 its reverse (60103791), we get a palindrome (79833897).

It can be divided in two parts, 197 and 30106, that added together give a palindrome (30303).

The spelling of 19730106 in words is "nineteen million, seven hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 397 502 753 794 1191 1506 2259 2382 2761 3573 4367 4518 5522 7146 8283 8734 13101 16566 24849 26202 39303 49698 78606 99647 199294 298941 597882 896823 1096117 1793646 2192234 3288351 6576702 9865053 19730106