Search a number
-
+
200106048 = 26317101607
BaseRepresentation
bin10111110110101…
…10000001000000
3111221112102220010
423323112001000
5402211343143
631504544520
74646605362
oct1373260100
9457472803
10200106048
11a2a556aa
1257022140
13325c365c
141c80cd32
151287aa33
hexbed6040

200106048 has 112 divisors (see below), whose sum is σ = 567074304. Its totient is φ = 62054400.

The previous prime is 200106041. The next prime is 200106059. The reversal of 200106048 is 840601002.

It is not an unprimeable number, because it can be changed into a prime (200106041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329361 + ... + 329967.

Almost surely, 2200106048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283537152).

200106048 is an abundant number, since it is smaller than the sum of its proper divisors (366968256).

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

200106048 is a wasteful number, since it uses less digits than its factorization.

200106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 200106048 is about 14145.8844898437. The cubic root of 200106048 is about 584.9068914568.

The spelling of 200106048 in words is "two hundred million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 101 102 136 192 202 204 272 303 404 408 544 606 607 808 816 1088 1212 1214 1616 1632 1717 1821 2424 2428 3232 3264 3434 3642 4848 4856 5151 6464 6868 7284 9696 9712 10302 10319 13736 14568 19392 19424 20604 20638 27472 29136 30957 38848 41208 41276 54944 58272 61307 61914 82416 82552 109888 116544 122614 123828 164832 165104 183921 245228 247656 329664 330208 367842 490456 495312 660416 735684 980912 990624 1042219 1471368 1961824 1981248 2084438 2942736 3126657 3923648 4168876 5885472 6253314 8337752 11770944 12506628 16675504 25013256 33351008 50026512 66702016 100053024 200106048