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20859540 = 22351347569
BaseRepresentation
bin100111110010…
…0101010010100
31110020202220120
41033210222110
520320001130
62023031540
7342205662
oct117445224
943222816
1020859540
1110858099
126b9b5b0
134424730
142aadc32
151c70910
hex13e4a94

20859540 has 96 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 5016576.

The previous prime is 20859533. The next prime is 20859547. The reversal of 20859540 is 4595802.

It is an interprime number because it is at equal distance from previous prime (20859533) and next prime (20859547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20859547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36376 + ... + 36944.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 220859540 is an apocalyptic number.

20859540 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 20859540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

20859540 is an abundant number, since it is smaller than the sum of its proper divisors (43491180).

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

20859540 is a wasteful number, since it uses less digits than its factorization.

20859540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 20859540 is about 4567.2245401338. The cubic root of 20859540 is about 275.2759324058.

The spelling of 20859540 in words is "twenty million, eight hundred fifty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 569 611 705 780 940 1138 1222 1410 1707 1833 2276 2444 2820 2845 3055 3414 3666 5690 6110 6828 7332 7397 8535 9165 11380 12220 14794 17070 18330 22191 26743 29588 34140 36660 36985 44382 53486 73970 80229 88764 106972 110955 133715 147940 160458 221910 267430 320916 347659 401145 443820 534860 695318 802290 1042977 1390636 1604580 1738295 2085954 3476590 4171908 5214885 6953180 10429770 20859540