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19823328 = 253279833
BaseRepresentation
bin100101110011…
…1101011100000
31101022010111100
41023213223200
520033321303
61544514400
7330331650
oct113475340
941263440
1019823328
111020a618
12677ba00
134150ba5
1428c0360
151b188a3
hex12e7ae0

19823328 has 72 divisors (see below), whose sum is σ = 64432368. Its totient is φ = 5663232.

The previous prime is 19823311. The next prime is 19823333. The reversal of 19823328 is 82332891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19823292 and 19823301.

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 11 ways as a sum of consecutive naturals, for example, 2901 + ... + 6932.

It is an arithmetic number, because the mean of its divisors is an integer number (894894).

Almost surely, 219823328 is an apocalyptic number.

19823328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19823328 is an abundant number, since it is smaller than the sum of its proper divisors (44609040).

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

19823328 is a wasteful number, since it uses less digits than its factorization.

19823328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9845 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 19823328 is about 4452.3396096884. The cubic root of 19823328 is about 270.6401272508.

The spelling of 19823328 in words is "nineteen million, eight hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 9833 19666 29499 39332 58998 68831 78664 88497 117996 137662 157328 176994 206493 235992 275324 314656 353988 412986 471984 550648 619479 707976 825972 943968 1101296 1238958 1415952 1651944 2202592 2477916 2831904 3303888 4955832 6607776 9911664 19823328