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200287980 = 2232543113229
BaseRepresentation
bin10111111000000…
…10011011101100
3111221212200110100
423330002123230
5402233203410
631512511100
74651263654
oct1374023354
9457780410
10200287980
11a306a362
12570ab490
13326583c9
141c859364
15128b48c0
hexbf026ec

200287980 has 144 divisors (see below), whose sum is σ = 629909280. Its totient is φ = 51480576.

The previous prime is 200287951. The next prime is 200287981. The reversal of 200287980 is 89782002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (200287981) 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, 874506 + ... + 874734.

It is an arithmetic number, because the mean of its divisors is an integer number (4374370).

Almost surely, 2200287980 is an apocalyptic number.

200287980 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 200287980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314954640).

200287980 is an abundant number, since it is smaller than the sum of its proper divisors (429621300).

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

200287980 is a wasteful number, since it uses less digits than its factorization.

200287980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 200287980 is about 14152.3135917771. The cubic root of 200287980 is about 585.0840992396.

The spelling of 200287980 in words is "two hundred million, two hundred eighty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 113 129 172 180 215 226 229 258 339 387 430 452 458 516 565 645 678 687 774 860 916 1017 1130 1145 1290 1356 1374 1548 1695 1935 2034 2061 2260 2290 2580 2748 3390 3435 3870 4068 4122 4580 4859 5085 6780 6870 7740 8244 9718 9847 10170 10305 13740 14577 19436 19694 20340 20610 24295 25877 29154 29541 39388 41220 43731 48590 49235 51754 58308 59082 72885 77631 87462 88623 97180 98470 103508 118164 129385 145770 147705 155262 174924 177246 196940 218655 232893 258770 291540 295410 310524 354492 388155 437310 443115 465786 517540 590820 776310 874620 886230 931572 1112711 1164465 1552620 1772460 2225422 2328930 3338133 4450844 4657860 5563555 6676266 10014399 11127110 13352532 16690665 20028798 22254220 33381330 40057596 50071995 66762660 100143990 200287980