Search a number
-
+
20724620 = 2257179827
BaseRepresentation
bin100111100001…
…1101110001100
31102222220211112
41033003232030
520301141440
62020111152
7341104430
oct117035614
942886745
1020724620
1110775794
126b354b8
1343a81b7
142a769c0
151c45965
hex13c3b8c

20724620 has 48 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 7057344.

The previous prime is 20724617. The next prime is 20724637. The reversal of 20724620 is 2642702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24647 + ... + 25473.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 220724620 is an apocalyptic number.

20724620 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 20724620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

20724620 is an abundant number, since it is smaller than the sum of its proper divisors (29352820).

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

20724620 is a wasteful number, since it uses less digits than its factorization.

20724620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 20724620 is about 4552.4301202764. The cubic root of 20724620 is about 274.6811511145.

The spelling of 20724620 in words is "twenty million, seven hundred twenty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 827 895 1253 1654 1790 2506 3308 3580 4135 5012 5789 6265 8270 11578 12530 16540 23156 25060 28945 57890 115780 148033 296066 592132 740165 1036231 1480330 2072462 2960660 4144924 5181155 10362310 20724620