Search a number
-
+
20460160 = 27574567
BaseRepresentation
bin100111000001…
…1001010000000
31102111111001201
41032003022000
520214211120
62010310544
7335623420
oct116031200
942444051
1020460160
1110605026
126a28454
134314a06
142a08480
151be240a
hex1383280

20460160 has 64 divisors (see below), whose sum is σ = 55912320. Its totient is φ = 7013376.

The previous prime is 20460157. The next prime is 20460199. The reversal of 20460160 is 6106402.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2197 + ... + 6763.

It is an arithmetic number, because the mean of its divisors is an integer number (873630).

Almost surely, 220460160 is an apocalyptic number.

20460160 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 20460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27956160).

20460160 is an abundant number, since it is smaller than the sum of its proper divisors (35452160).

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

20460160 is an equidigital number, since it uses as much as digits as its factorization.

20460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20460160 is about 4523.2908374324. The cubic root of 20460160 is about 273.5077741664.

Adding to 20460160 its reverse (6106402), we get a palindrome (26566562).

The spelling of 20460160 in words is "twenty million, four hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 4567 9134 18268 22835 31969 36536 45670 63938 73072 91340 127876 146144 159845 182680 255752 292288 319690 365360 511504 584576 639380 730720 1023008 1278760 1461440 2046016 2557520 2922880 4092032 5115040 10230080 20460160