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19890936 = 23321379269
BaseRepresentation
bin100101111100…
…0001011111000
31101102120020100
41023320023320
520043002221
61550155400
7331033032
oct113701370
941376210
1019890936
111025639a
1267b2b60
1341758b0
1428dac52
151b2d926
hex12f82f8

19890936 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6020352.

The previous prime is 19890919. The next prime is 19890961. The reversal of 19890936 is 63909891.

It is a junction number, because it is equal to n+sod(n) for n = 19890891 and 19890900.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 73810 + ... + 74078.

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

Almost surely, 219890936 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 19890936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

19890936 is an abundant number, since it is smaller than the sum of its proper divisors (39077064).

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

19890936 is a wasteful number, since it uses less digits than its factorization.

19890936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19890936 is about 4459.9255599169. The cubic root of 19890936 is about 270.9474533087.

The spelling of 19890936 in words is "nineteen million, eight hundred ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 269 312 316 468 474 538 632 711 807 936 948 1027 1076 1422 1614 1896 2054 2152 2421 2844 3081 3228 3497 4108 4842 5688 6162 6456 6994 8216 9243 9684 10491 12324 13988 18486 19368 20982 21251 24648 27976 31473 36972 41964 42502 62946 63753 73944 83928 85004 125892 127506 170008 191259 251784 255012 276263 382518 510024 552526 765036 828789 1105052 1530072 1657578 2210104 2486367 3315156 4972734 6630312 9945468 19890936