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19713792 = 283719193
BaseRepresentation
bin100101100110…
…0111100000000
31101002120020110
41023030330000
520021320132
61542311320
7326364420
oct113147400
941076213
1019713792
111014529a
126728540
134113087
142892480
151ae61cc
hex12ccf00

19713792 has 144 divisors (see below), whose sum is σ = 63445760. Its totient is φ = 5308416.

The previous prime is 19713779. The next prime is 19713809. The reversal of 19713792 is 29731791.

It is a self number, because there is not a number n which added to its sum of digits gives 19713792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102048 + ... + 102240.

Almost surely, 219713792 is an apocalyptic number.

19713792 is a gapful number since it is divisible by the number (12) 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 19713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31722880).

19713792 is an abundant number, since it is smaller than the sum of its proper divisors (43731968).

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

19713792 is a wasteful number, since it uses less digits than its factorization.

19713792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 19713792 is about 4440.0216215690. The cubic root of 19713792 is about 270.1407222542.

The spelling of 19713792 in words is "nineteen million, seven hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 193 224 228 256 266 304 336 384 386 399 448 456 532 579 608 672 768 772 798 896 912 1064 1158 1216 1344 1351 1544 1596 1792 1824 2128 2316 2432 2688 2702 3088 3192 3648 3667 4053 4256 4632 4864 5376 5404 6176 6384 7296 7334 8106 8512 9264 10808 11001 12352 12768 14592 14668 16212 17024 18528 21616 22002 24704 25536 25669 29336 32424 34048 37056 43232 44004 49408 51072 51338 58672 64848 74112 77007 86464 88008 102144 102676 117344 129696 148224 154014 172928 176016 205352 234688 259392 308028 345856 352032 410704 469376 518784 616056 704064 821408 938752 1037568 1232112 1408128 1642816 2464224 2816256 3285632 4928448 6571264 9856896 19713792