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20739840 = 283511491
BaseRepresentation
bin100111100011…
…1011100000000
31110000200201020
41033013130000
520302133330
62020305440
7341200002
oct117073400
943020636
1020739840
1110786170
126b42280
1343b20c4
142a7c372
151c4a210
hex13c7700

20739840 has 144 divisors (see below), whose sum is σ = 72406656. Its totient is φ = 5017600.

The previous prime is 20739839. The next prime is 20739853. The reversal of 20739840 is 4893702.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41995 + ... + 42485.

It is an arithmetic number, because the mean of its divisors is an integer number (502824).

Almost surely, 220739840 is an apocalyptic number.

20739840 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 20739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36203328).

20739840 is an abundant number, since it is smaller than the sum of its proper divisors (51666816).

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

20739840 is a wasteful number, since it uses less digits than its factorization.

20739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20739840 is about 4554.1014481454. The cubic root of 20739840 is about 274.7483758956.

The spelling of 20739840 in words is "twenty million, seven hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 491 528 640 660 704 768 880 960 982 1056 1280 1320 1408 1473 1760 1920 1964 2112 2455 2640 2816 2946 3520 3840 3928 4224 4910 5280 5401 5892 7040 7365 7856 8448 9820 10560 10802 11784 14080 14730 15712 16203 19640 21120 21604 23568 27005 29460 31424 32406 39280 42240 43208 47136 54010 58920 62848 64812 78560 81015 86416 94272 108020 117840 125696 129624 157120 162030 172832 188544 216040 235680 259248 314240 324060 345664 377088 432080 471360 518496 628480 648120 691328 864160 942720 1036992 1296240 1382656 1728320 1885440 2073984 2592480 3456640 4147968 5184960 6913280 10369920 20739840