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20855120 = 24511131823
BaseRepresentation
bin100111110001…
…1100101010000
31110020112211212
41033203211100
520314330440
62022555252
7342160046
oct117434520
943215755
1020855120
1110854840
126b98b28
134422710
142aac396
151c6e465
hex13e3950

20855120 has 80 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 6996480.

The previous prime is 20855117. The next prime is 20855123. The reversal of 20855120 is 2155802.

It is an interprime number because it is at equal distance from previous prime (20855117) and next prime (20855123).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20855123) 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, 10529 + ... + 12351.

Almost surely, 220855120 is an apocalyptic number.

20855120 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 20855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

20855120 is an abundant number, since it is smaller than the sum of its proper divisors (36141232).

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

20855120 is a wasteful number, since it uses less digits than its factorization.

20855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 20855120 is about 4566.7406320044. The cubic root of 20855120 is about 275.2564879762.

The spelling of 20855120 in words is "twenty million, eight hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 1823 2288 2860 3646 5720 7292 9115 11440 14584 18230 20053 23699 29168 36460 40106 47398 72920 80212 94796 100265 118495 145840 160424 189592 200530 236990 260689 320848 379184 401060 473980 521378 802120 947960 1042756 1303445 1604240 1895920 2085512 2606890 4171024 5213780 10427560 20855120