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19769680 = 245743821
BaseRepresentation
bin100101101101…
…0100101010000
31101012101220101
41023122211100
520030112210
61543422144
7330016360
oct113324520
941171811
1019769680
1110183287
126754954
134132648
1428a89a0
151b07a3a
hex12da950

19769680 has 80 divisors (see below), whose sum is σ = 53817984. Its totient is φ = 6612480.

The previous prime is 19769669. The next prime is 19769681. The reversal of 19769680 is 8696791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 19769680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19769681) by changing a digit.

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, 23670 + ... + 24490.

Almost surely, 219769680 is an apocalyptic number.

19769680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908992).

19769680 is an abundant number, since it is smaller than the sum of its proper divisors (34048304).

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

19769680 is a wasteful number, since it uses less digits than its factorization.

19769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 19769680 is about 4446.3108303401. The cubic root of 19769680 is about 270.3957616366.

It can be divided in two parts, 19769 and 680, that added together give a square (20449 = 1432).

The spelling of 19769680 in words is "nineteen million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 821 860 1204 1505 1642 1720 2408 3010 3284 3440 4105 4816 5747 6020 6568 8210 11494 12040 13136 16420 22988 24080 28735 32840 35303 45976 57470 65680 70606 91952 114940 141212 176515 229880 247121 282424 353030 459760 494242 564848 706060 988484 1235605 1412120 1976968 2471210 2824240 3953936 4942420 9884840 19769680