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200018940 = 2235111717827
BaseRepresentation
bin10111110110000…
…00101111111100
3111221101000101220
423323000233330
5402201101230
631503033340
74646063412
oct1373005774
9457330356
10200018940
11a29a6210
1256b9b850
1332592b04
141c7c92b2
151285ed10
hexbec0bfc

200018940 has 96 divisors (see below), whose sum is σ = 646942464. Its totient is φ = 45634560.

The previous prime is 200018849. The next prime is 200018953. The reversal of 200018940 is 49810002.

It is a self number, because there is not a number n which added to its sum of digits gives 200018940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2307 + ... + 20133.

It is an arithmetic number, because the mean of its divisors is an integer number (6738984).

Almost surely, 2200018940 is an apocalyptic number.

200018940 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 200018940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323471232).

200018940 is an abundant number, since it is smaller than the sum of its proper divisors (446923524).

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

200018940 is a wasteful number, since it uses less digits than its factorization.

200018940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17867 (or 17865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 200018940 is about 14142.8052380000. The cubic root of 200018940 is about 584.8220073585.

Adding to 200018940 its reverse (49810002), we get a palindrome (249828942).

The spelling of 200018940 in words is "two hundred million, eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 17827 35654 53481 71308 89135 106962 178270 196097 213924 267405 303059 356540 392194 534810 588291 606118 784388 909177 980485 1069620 1176582 1212236 1515295 1818354 1960970 2353164 2941455 3030590 3333649 3636708 3921940 4545885 5882910 6061180 6667298 9091770 10000947 11765820 13334596 16668245 18183540 20001894 33336490 40003788 50004735 66672980 100009470 200018940