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2000107350 = 233522396199
BaseRepresentation
bin111011100110111…
…0011011101010110
312011101112222111000
41313031303131112
513044011413400
6530245124130
7100364426523
oct16715633526
95141488430
102000107350
1193701028a
124799b9646
1325b4b4197
1414d8c614a
15ba8d4600
hex77373756

2000107350 has 96 divisors (see below), whose sum is σ = 5535360000. Its totient is φ = 531044640.

The previous prime is 2000107339. The next prime is 2000107391. The reversal of 2000107350 is 537010002.

2000107350 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319551 + ... + 325749.

It is an arithmetic number, because the mean of its divisors is an integer number (57660000).

Almost surely, 22000107350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000107350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680000).

2000107350 is an abundant number, since it is smaller than the sum of its proper divisors (3535252650).

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

2000107350 is a wasteful number, since it uses less digits than its factorization.

2000107350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2000107350 is about 44722.5597433778. The cubic root of 2000107350 is about 1259.9435915790.

Adding to 2000107350 its reverse (537010002), we get a palindrome (2537117352).

The spelling of 2000107350 in words is "two billion, one hundred seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 239 270 450 478 675 717 1195 1350 1434 2151 2390 3585 4302 5975 6199 6453 7170 10755 11950 12398 12906 17925 18597 21510 30995 32265 35850 37194 53775 55791 61990 64530 92985 107550 111582 154975 161325 167373 185970 278955 309950 322650 334746 464925 557910 836865 929850 1394775 1481561 1673730 2789550 2963122 4184325 4444683 7407805 8368650 8889366 13334049 14815610 22223415 26668098 37039025 40002147 44446830 66670245 74078050 80004294 111117075 133340490 200010735 222234150 333351225 400021470 666702450 1000053675 2000107350