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19905696 = 253323039
BaseRepresentation
bin100101111101…
…1110010100000
31101110022111000
41023323302200
520043440241
61550352000
7331124046
oct113736240
941408430
1019905696
1110266498
1267bb600
13417c525
142902396
151b32eb6
hex12fbca0

19905696 has 48 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 6634944.

The previous prime is 19905679. The next prime is 19905701. The reversal of 19905696 is 69650991.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 10656 + ... + 12383.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 219905696 is an apocalyptic number.

19905696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19905696 is an abundant number, since it is smaller than the sum of its proper divisors (38155104).

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

19905696 is a wasteful number, since it uses less digits than its factorization.

19905696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23058 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 19905696 is about 4461.5799891967. The cubic root of 19905696 is about 271.0144552776.

The spelling of 19905696 in words is "nineteen million, nine hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 23039 46078 69117 92156 138234 184312 207351 276468 368624 414702 552936 622053 737248 829404 1105872 1244106 1658808 2211744 2488212 3317616 4976424 6635232 9952848 19905696