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200006240 = 2557297263
BaseRepresentation
bin10111110101111…
…01101001100000
3111221100100222112
423322331221200
5402200144430
631502454452
74646011400
oct1372755140
9457310875
10200006240
11a2997715
1256b94428
133258a0b5
141c7c4800
151285b195
hexbebda60

200006240 has 144 divisors (see below), whose sum is σ = 557438112. Its totient is φ = 67608576.

The previous prime is 200006239. The next prime is 200006249. The reversal of 200006240 is 42600002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200006249) 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, 760349 + ... + 760611.

It is an arithmetic number, because the mean of its divisors is an integer number (3871098).

Almost surely, 2200006240 is an apocalyptic number.

200006240 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 200006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278719056).

200006240 is an abundant number, since it is smaller than the sum of its proper divisors (357431872).

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

200006240 is a wasteful number, since it uses less digits than its factorization.

200006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 200006240 is about 14142.3562393259. The cubic root of 200006240 is about 584.8096295362.

Adding to 200006240 its reverse (42600002), we get a palindrome (242606242).

The spelling of 200006240 in words is "two hundred million, six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 97 98 112 140 160 194 196 224 245 263 280 388 392 485 490 526 560 679 776 784 970 980 1052 1120 1315 1358 1552 1568 1841 1940 1960 2104 2630 2716 3104 3395 3682 3880 3920 4208 4753 5260 5432 6790 7364 7760 7840 8416 9205 9506 10520 10864 12887 13580 14728 15520 18410 19012 21040 21728 23765 25511 25774 27160 29456 36820 38024 42080 47530 51022 51548 54320 58912 64435 73640 76048 95060 102044 103096 108640 127555 128870 147280 152096 178577 190120 204088 206192 255110 257740 294560 357154 380240 408176 412384 510220 515480 714308 760480 816352 892885 1020440 1030960 1250039 1428616 1785770 2040880 2061920 2500078 2857232 3571540 4081760 5000156 5714464 6250195 7143080 10000312 12500390 14286160 20000624 25000780 28572320 40001248 50001560 100003120 200006240