Search a number
-
+
400560204200 = 235213642723971
BaseRepresentation
bin1011101010000110011…
…11111010100110101000
31102021220201200200200112
411311003033322212220
523030321403013300
6504003111153452
740640153362262
oct5650317724650
91367821620615
10400560204200
1114497087a082
126576a975888
132ba07712310
141555c74ab32
15a645ba4e35
hex5d433fa9a8

400560204200 has 96 divisors (see below), whose sum is σ = 1003139024160. Its totient is φ = 147869971200.

The previous prime is 400560204169. The next prime is 400560204203. The reversal of 400560204200 is 2402065004.

It is not an unprimeable number, because it can be changed into a prime (400560204203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16698215 + ... + 16722185.

It is an arithmetic number, because the mean of its divisors is an integer number (10449364835).

Almost surely, 2400560204200 is an apocalyptic number.

400560204200 is a gapful number since it is divisible by the number (40) 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 400560204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501569512080).

400560204200 is an abundant number, since it is smaller than the sum of its proper divisors (602578819960).

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

400560204200 is a wasteful number, since it uses less digits than its factorization.

400560204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30427 (or 30418 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 400560204200 its reverse (2402065004), we get a palindrome (402962269204).

The spelling of 400560204200 in words is "four hundred billion, five hundred sixty million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 6427 12854 23971 25708 32135 47942 51416 64270 83551 95884 119855 128540 160675 167102 191768 239710 257080 311623 321350 334204 417755 479420 599275 623246 642700 668408 835510 958840 1198550 1246492 1285400 1558115 1671020 2088775 2397100 2492984 3116230 3342040 4177550 4794200 6232460 7790575 8355100 12464920 15581150 16710200 31162300 62324600 154061617 308123234 616246468 770308085 1232492936 1540616170 2002801021 3081232340 3851540425 4005602042 6162464680 7703080850 8011204084 10014005105 15406161700 16022408168 20028010210 30812323400 40056020420 50070025525 80112040840 100140051050 200280102100 400560204200