Search a number
-
+
20035620 = 22335113373
BaseRepresentation
bin100110001101…
…1100000100100
31101200220201000
41030123200210
520112114440
61553233300
7332204613
oct114334044
941626630
1020035620
1110345070
126862830
1341c66c7
14293787a
151b5b730
hex131b824

20035620 has 96 divisors (see below), whose sum is σ = 68019840. Its totient is φ = 4855680.

The previous prime is 20035601. The next prime is 20035621. The reversal of 20035620 is 2653002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20035593 and 20035602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20035621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4254 + ... + 7626.

It is an arithmetic number, because the mean of its divisors is an integer number (708540).

Almost surely, 220035620 is an apocalyptic number.

20035620 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 20035620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34009920).

20035620 is an abundant number, since it is smaller than the sum of its proper divisors (47984220).

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

20035620 is a wasteful number, since it uses less digits than its factorization.

20035620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20035620 is about 4476.1166204647. The cubic root of 20035620 is about 271.6028120129.

Adding to 20035620 its reverse (2653002), we get a palindrome (22688622).

The spelling of 20035620 in words is "twenty million, thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 3373 5940 6746 10119 13492 16865 20238 30357 33730 37103 40476 50595 60714 67460 74206 91071 101190 111309 121428 148412 151785 182142 185515 202380 222618 303570 333927 364284 371030 445236 455355 556545 607140 667854 742060 910710 1001781 1113090 1335708 1669635 1821420 2003562 2226180 3339270 4007124 5008905 6678540 10017810 20035620