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20665840 = 2451331641
BaseRepresentation
bin100111011010…
…1010111110000
31102212221012111
41032311113300
520242301330
62014535104
7340441156
oct116652760
942787174
1020665840
1110735608
126b07494
134387510
142a5d3d6
151c3332a
hex13b55f0

20665840 has 80 divisors (see below), whose sum is σ = 53496576. Its totient is φ = 7372800.

The previous prime is 20665837. The next prime is 20665849. The reversal of 20665840 is 4856602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20665849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31920 + ... + 32560.

It is a vampire number, since it can be written as 25648060 (with its own digits).

Almost surely, 220665840 is an apocalyptic number.

20665840 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 20665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26748288).

20665840 is an abundant number, since it is smaller than the sum of its proper divisors (32830736).

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

20665840 is a wasteful number, since it uses less digits than its factorization.

20665840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 20665840 is about 4545.9696435414. The cubic root of 20665840 is about 274.4212179758.

The spelling of 20665840 in words is "twenty million, six hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 641 806 1040 1240 1282 1612 2015 2480 2564 3205 3224 4030 5128 6410 6448 8060 8333 10256 12820 16120 16666 19871 25640 32240 33332 39742 41665 51280 66664 79484 83330 99355 133328 158968 166660 198710 258323 317936 333320 397420 516646 666640 794840 1033292 1291615 1589680 2066584 2583230 4133168 5166460 10332920 20665840