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19664106 = 23711311373
BaseRepresentation
bin100101100000…
…0110011101010
31101000001002020
41023000303222
520013222411
61541245310
7326066520
oct113006352
941001066
1019664106
1110110a30
126703836
1340c6587
14287c310
151ad6606
hex12c0cea

19664106 has 64 divisors (see below), whose sum is σ = 50651136. Its totient is φ = 4939200.

The previous prime is 19664101. The next prime is 19664123. The reversal of 19664106 is 60146691.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (19664101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13636 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (791424).

Almost surely, 219664106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19664106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25325568).

19664106 is an abundant number, since it is smaller than the sum of its proper divisors (30987030).

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

19664106 is a wasteful number, since it uses less digits than its factorization.

19664106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 19664106 is about 4434.4228485791. The cubic root of 19664106 is about 269.9135800239.

The spelling of 19664106 in words is "nineteen million, six hundred sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 1373 2046 2387 2746 4119 4774 7161 8238 9611 14322 15103 19222 28833 30206 42563 45309 57666 85126 90618 105721 127689 211442 255378 297941 317163 468193 595882 634326 893823 936386 1404579 1787646 2809158 3277351 6554702 9832053 19664106