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19955016 = 23321929503
BaseRepresentation
bin100110000011…
…1110101001000
31101112211010200
41030013311020
520102030031
61551412200
7331420614
oct114076510
941484120
1019955016
111029a554
126824060
134198b03
142916344
151b428e6
hex1307d48

19955016 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6072192.

The previous prime is 19954981. The next prime is 19955029. The reversal of 19955016 is 61055991.

19955016 is a `hidden beast` number, since 1 + 99 + 550 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39421 + ... + 39923.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 219955016 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 19955016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

19955016 is an abundant number, since it is smaller than the sum of its proper divisors (39012984).

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

19955016 is a wasteful number, since it uses less digits than its factorization.

19955016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 19955016 is about 4467.1037597083. The cubic root of 19955016 is about 271.2380999543.

The spelling of 19955016 in words is "nineteen million, nine hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 503 522 551 684 696 1006 1044 1102 1368 1509 1653 2012 2088 2204 3018 3306 4024 4408 4527 4959 6036 6612 9054 9557 9918 12072 13224 14587 18108 19114 19836 28671 29174 36216 38228 39672 43761 57342 58348 76456 86013 87522 114684 116696 131283 172026 175044 229368 262566 277153 344052 350088 525132 554306 688104 831459 1050264 1108612 1662918 2217224 2494377 3325836 4988754 6651672 9977508 19955016