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20215920 = 2435131643
BaseRepresentation
bin100110100011…
…1100001110000
31102001002000210
41031013201300
520133402140
62001144120
7333555354
oct115074160
942032023
1020215920
111045857a
12692b040
13425a7aa
142983464
151b94d80
hex1347870

20215920 has 80 divisors (see below), whose sum is σ = 63245952. Its totient is φ = 5341440.

The previous prime is 20215883. The next prime is 20215967. The reversal of 20215920 is 2951202.

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

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, 31119 + ... + 31761.

Almost surely, 220215920 is an apocalyptic number.

20215920 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 20215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31622976).

20215920 is an abundant number, since it is smaller than the sum of its proper divisors (43030032).

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

20215920 is a wasteful number, since it uses less digits than its factorization.

20215920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20215920 is about 4496.2117387863. The cubic root of 20215920 is about 272.4150957326.

The spelling of 20215920 in words is "twenty million, two hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 643 655 786 1048 1286 1310 1572 1929 1965 2096 2572 2620 3144 3215 3858 3930 5144 5240 6288 6430 7716 7860 9645 10288 10480 12860 15432 15720 19290 25720 30864 31440 38580 51440 77160 84233 154320 168466 252699 336932 421165 505398 673864 842330 1010796 1263495 1347728 1684660 2021592 2526990 3369320 4043184 5053980 6738640 10107960 20215920