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20861040 = 2435175113
BaseRepresentation
bin100111110010…
…1000001110000
31110020211222010
41033211001300
520320023130
62023042520
7342213234
oct117450160
943224863
1020861040
1110859232
126ba0440
134425315
142ab05c4
151c710b0
hex13e5070

20861040 has 80 divisors (see below), whose sum is σ = 68486688. Its totient is φ = 5234688.

The previous prime is 20861033. The next prime is 20861051. The reversal of 20861040 is 4016802.

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

It is a junction number, because it is equal to n+sod(n) for n = 20860998 and 20861016.

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, 1524 + ... + 6636.

Almost surely, 220861040 is an apocalyptic number.

20861040 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 20861040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34243344).

20861040 is an abundant number, since it is smaller than the sum of its proper divisors (47625648).

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

20861040 is a wasteful number, since it uses less digits than its factorization.

20861040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20861040 is about 4567.3887506977. The cubic root of 20861040 is about 275.2825305699.

Adding to 20861040 its reverse (4016802), we get a palindrome (24877842).

The spelling of 20861040 in words is "twenty million, eight hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 5113 10226 15339 20452 25565 30678 40904 51130 61356 76695 81808 86921 102260 122712 153390 173842 204520 245424 260763 306780 347684 409040 434605 521526 613560 695368 869210 1043052 1227120 1303815 1390736 1738420 2086104 2607630 3476840 4172208 5215260 6953680 10430520 20861040