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19793340 = 22325723683
BaseRepresentation
bin100101110000…
…0010110111100
31101020121100200
41023200112330
520031341330
61544123500
7330145350
oct113402674
941217320
1019793340
111019a036
126766590
134140348
1428b3460
151b0ea60
hex12e05bc

19793340 has 144 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 4321152.

The previous prime is 19793339. The next prime is 19793353. The reversal of 19793340 is 4339791.

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

It is a junction number, because it is equal to n+sod(n) for n = 19793295 and 19793304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28639 + ... + 29321.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 219793340 is an apocalyptic number.

19793340 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 19793340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

19793340 is an abundant number, since it is smaller than the sum of its proper divisors (51911748).

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

19793340 is a wasteful number, since it uses less digits than its factorization.

19793340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 19793340 is about 4448.9706674690. The cubic root of 19793340 is about 270.5035869066.

The spelling of 19793340 in words is "nineteen million, seven hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 683 690 805 828 966 1035 1260 1366 1380 1449 1610 1932 2049 2070 2415 2732 2898 3220 3415 4098 4140 4781 4830 5796 6147 6830 7245 8196 9562 9660 10245 12294 13660 14343 14490 15709 19124 20490 23905 24588 28686 28980 30735 31418 40980 43029 47127 47810 57372 61470 62836 71715 78545 86058 94254 95620 109963 122940 141381 143430 157090 172116 188508 215145 219926 235635 282762 286860 314180 329889 430290 439852 471270 549815 565524 659778 706905 860580 942540 989667 1099630 1319556 1413810 1649445 1979334 2199260 2827620 3298890 3958668 4948335 6597780 9896670 19793340