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20044640 = 2557111627
BaseRepresentation
bin100110001110…
…1101101100000
31101201101002002
41030131231200
520112412030
61553343132
7332243120
oct114355540
941641062
1020044640
1110350920
126867aa8
1341ca845
14293ac80
151b5e245
hex131db60

20044640 has 96 divisors (see below), whose sum is σ = 59076864. Its totient is φ = 6243840.

The previous prime is 20044637. The next prime is 20044657. The reversal of 20044640 is 4644002.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11507 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (615384).

Almost surely, 220044640 is an apocalyptic number.

20044640 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 20044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538432).

20044640 is an abundant number, since it is smaller than the sum of its proper divisors (39032224).

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

20044640 is a wasteful number, since it uses less digits than its factorization.

20044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 20044640 is about 4477.1240769047. The cubic root of 20044640 is about 271.6435642634.

Adding to 20044640 its reverse (4644002), we get a palindrome (24688642).

The spelling of 20044640 in words is "twenty million, forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1627 1760 2464 3080 3254 6160 6508 8135 11389 12320 13016 16270 17897 22778 26032 32540 35794 45556 52064 56945 65080 71588 89485 91112 113890 125279 130160 143176 178970 182224 227780 250558 260320 286352 357940 364448 455560 501116 572704 626395 715880 911120 1002232 1252790 1431760 1822240 2004464 2505580 2863520 4008928 5011160 10022320 20044640