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19106664 = 2333161421
BaseRepresentation
bin100100011100…
…0101101101000
31022221201102020
41020320231220
514342403124
61521304440
7321255363
oct110705550
938851366
1019106664
11a870135
126495120
133c5c925
1427750da
151a26379
hex1238b68

19106664 has 64 divisors (see below), whose sum is σ = 50234880. Its totient is φ = 6048000.

The previous prime is 19106653. The next prime is 19106671. The reversal of 19106664 is 46660191.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45174 + ... + 45594.

It is an arithmetic number, because the mean of its divisors is an integer number (784920).

Almost surely, 219106664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19106664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117440).

19106664 is an abundant number, since it is smaller than the sum of its proper divisors (31128216).

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

19106664 is a wasteful number, since it uses less digits than its factorization.

19106664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

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

The square root of 19106664 is about 4371.1170197102. The cubic root of 19106664 is about 267.3385708985.

The spelling of 19106664 in words is "nineteen million, one hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 421 488 732 744 842 1263 1464 1684 1891 2526 3368 3782 5052 5673 7564 10104 11346 13051 15128 22692 25681 26102 39153 45384 51362 52204 77043 78306 102724 104408 154086 156612 205448 308172 313224 616344 796111 1592222 2388333 3184444 4776666 6368888 9553332 19106664