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20738340 = 223257109151
BaseRepresentation
bin100111100011…
…1000100100100
31110000121122200
41033013010210
520302111330
62020254500
7341162430
oct117070444
943017580
1020738340
1110785027
126b41430
1343b150c
142a7b9c0
151c49a60
hex13c7124

20738340 has 144 divisors (see below), whose sum is σ = 73032960. Its totient is φ = 4665600.

The previous prime is 20738321. The next prime is 20738359. The reversal of 20738340 is 4383702.

It is an interprime number because it is at equal distance from previous prime (20738321) and next prime (20738359).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 137265 + ... + 137415.

Almost surely, 220738340 is an apocalyptic number.

20738340 is a gapful number since it is divisible by the number (20) 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 20738340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36516480).

20738340 is an abundant number, since it is smaller than the sum of its proper divisors (52294620).

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

20738340 is a wasteful number, since it uses less digits than its factorization.

20738340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20738340 is about 4553.9367584542. The cubic root of 20738340 is about 274.7417520499.

The spelling of 20738340 in words is "twenty million, seven hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 151 180 210 218 252 302 315 327 420 436 453 545 604 630 654 755 763 906 981 1057 1090 1260 1308 1359 1510 1526 1635 1812 1962 2114 2180 2265 2289 2718 3020 3052 3171 3270 3815 3924 4228 4530 4578 4905 5285 5436 6342 6540 6795 6867 7630 9060 9156 9513 9810 10570 11445 12684 13590 13734 15260 15855 16459 19026 19620 21140 22890 27180 27468 31710 32918 34335 38052 45780 47565 49377 63420 65836 68670 82295 95130 98754 115213 137340 148131 164590 190260 197508 230426 246885 296262 329180 345639 460852 493770 576065 592524 691278 740655 987540 1036917 1152130 1382556 1481310 1728195 2073834 2304260 2962620 3456390 4147668 5184585 6912780 10369170 20738340