Search a number
-
+
20162720 = 255235479
BaseRepresentation
bin100110011101…
…0100010100000
31101221101001102
41030322202200
520130201340
62000053532
7333244304
oct114724240
941841042
1020162720
1110421606
1269042a8
13423c506
14296bd04
151b84215
hex133a8a0

20162720 has 48 divisors (see below), whose sum is σ = 49714560. Its totient is φ = 7713024.

The previous prime is 20162717. The next prime is 20162761. The reversal of 20162720 is 2726102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20162692 and 20162701.

It is a congruent number.

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, 941 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (1035720).

Almost surely, 220162720 is an apocalyptic number.

20162720 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 20162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24857280).

20162720 is an abundant number, since it is smaller than the sum of its proper divisors (29551840).

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

20162720 is a wasteful number, since it uses less digits than its factorization.

20162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20162720 is about 4490.2917499869. The cubic root of 20162720 is about 272.1759242534.

Adding to 20162720 its reverse (2726102), we get a palindrome (22888822).

The spelling of 20162720 in words is "twenty million, one hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 5479 10958 21916 27395 43832 54790 87664 109580 126017 175328 219160 252034 438320 504068 630085 876640 1008136 1260170 2016272 2520340 4032544 5040680 10081360 20162720