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200130040 = 235111937647
BaseRepresentation
bin10111110110110…
…11110111111000
3111221120122210201
423323123313320
5402213130130
631505251544
74650035335
oct1373336770
9457518721
10200130040
11a2a71730
1257033bb4
1332601556
141c81798c
1512882bca
hexbedbdf8

200130040 has 128 divisors (see below), whose sum is σ = 531878400. Its totient is φ = 66977280.

The previous prime is 200130031. The next prime is 200130053. The reversal of 200130040 is 40031002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200129999 and 200130026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308997 + ... + 309643.

It is an arithmetic number, because the mean of its divisors is an integer number (4155300).

Almost surely, 2200130040 is an apocalyptic number.

200130040 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 200130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

200130040 is an abundant number, since it is smaller than the sum of its proper divisors (331748360).

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

200130040 is a wasteful number, since it uses less digits than its factorization.

200130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200130040 is about 14146.7324849239. The cubic root of 200130040 is about 584.9302666045.

Adding to 200130040 its reverse (40031002), we get a palindrome (240161042).

It can be divided in two parts, 2001 and 30040, that added together give a square (32041 = 1792).

The spelling of 200130040 in words is "two hundred million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 37 38 40 44 55 74 76 88 95 110 148 152 185 190 209 220 296 370 380 407 418 440 647 703 740 760 814 836 1045 1294 1406 1480 1628 1672 2035 2090 2588 2812 3235 3256 3515 4070 4180 5176 5624 6470 7030 7117 7733 8140 8360 12293 12940 14060 14234 15466 16280 23939 24586 25880 28120 28468 30932 35585 38665 47878 49172 56936 61465 61864 71170 77330 95756 98344 119695 122930 135223 142340 154660 191512 239390 245860 263329 270446 284680 309320 454841 478780 491720 526658 540892 676115 909682 957560 1053316 1081784 1316645 1352230 1819364 2106632 2274205 2633290 2704460 3638728 4548410 5003251 5266580 5408920 9096820 10006502 10533160 18193640 20013004 25016255 40026008 50032510 100065020 200130040