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204313140 = 2232517232903
BaseRepresentation
bin11000010110110…
…01001000110100
3112020110011221100
430023121020310
5404301010030
632135050100
75030430063
oct1413311064
9466404840
10204313140
11a5369539
1258510930
1333437565
141d1c61da
1512e0c360
hexc2d9234

204313140 has 144 divisors (see below), whose sum is σ = 684972288. Its totient is φ = 49032192.

The previous prime is 204313129. The next prime is 204313141. The reversal of 204313140 is 41313402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204313141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68929 + ... + 71831.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752).

Almost surely, 2204313140 is an apocalyptic number.

204313140 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 204313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342486144).

204313140 is an abundant number, since it is smaller than the sum of its proper divisors (480659148).

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

204313140 is a wasteful number, since it uses less digits than its factorization.

204313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204313140 is about 14293.8147462460. The cubic root of 204313140 is about 588.9775838612.

Adding to 204313140 its reverse (41313402), we get a palindrome (245626542).

The spelling of 204313140 in words is "two hundred four million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 2903 3060 3519 3910 4140 4692 5806 5865 7038 7820 8709 11612 11730 14076 14515 17418 17595 23460 26127 29030 34836 35190 43545 49351 52254 58060 66769 70380 87090 98702 104508 130635 133538 148053 174180 197404 200307 246755 261270 267076 296106 333845 400614 444159 493510 522540 592212 600921 667690 740265 801228 888318 987020 1001535 1135073 1201842 1335380 1480530 1776636 2003070 2220795 2270146 2403684 2961060 3004605 3405219 4006140 4441590 4540292 5675365 6009210 6810438 8883180 10215657 11350730 12018420 13620876 17026095 20431314 22701460 34052190 40862628 51078285 68104380 102156570 204313140