Search a number
-
+
20933360 = 2457291289
BaseRepresentation
bin100111111011…
…0101011110000
31110101112011122
41033312223300
520324331420
62024401412
7342634130
oct117665360
943345148
1020933360
11108a85a8
127016268
13444c206
142accac0
151c87725
hex13f6af0

20933360 has 80 divisors (see below), whose sum is σ = 57585600. Its totient is φ = 6924288.

The previous prime is 20933333. The next prime is 20933399. The reversal of 20933360 is 6333902.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15596 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (719820).

Almost surely, 220933360 is an apocalyptic number.

20933360 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 20933360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792800).

20933360 is an abundant number, since it is smaller than the sum of its proper divisors (36652240).

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

20933360 is a wasteful number, since it uses less digits than its factorization.

20933360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 20933360 is about 4575.2988973399. The cubic root of 20933360 is about 275.6002755300.

The spelling of 20933360 in words is "twenty million, nine hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1289 1624 2030 2320 2578 3248 4060 5156 6445 8120 9023 10312 12890 16240 18046 20624 25780 36092 37381 45115 51560 72184 74762 90230 103120 144368 149524 180460 186905 261667 299048 360920 373810 523334 598096 721840 747620 1046668 1308335 1495240 2093336 2616670 2990480 4186672 5233340 10466680 20933360