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206155890 = 232519313889
BaseRepresentation
bin11000100100110…
…11000001110010
3112100220210201100
430102123001302
5410233442030
632242345230
75052203403
oct1422330162
9470823640
10206155890
11a6407a76
125905b216
1333931245
141d5459aa
1513173360
hexc49b072

206155890 has 96 divisors (see below), whose sum is σ = 582566400. Its totient is φ = 50388480.

The previous prime is 206155861. The next prime is 206155907. The reversal of 206155890 is 98551602.

It is a happy 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, 51066 + ... + 54954.

It is an arithmetic number, because the mean of its divisors is an integer number (6068400).

Almost surely, 2206155890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206155890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291283200).

206155890 is an abundant number, since it is smaller than the sum of its proper divisors (376410510).

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

206155890 is a wasteful number, since it uses less digits than its factorization.

206155890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 206155890 is about 14358.1297528613. The cubic root of 206155890 is about 590.7429976723.

The spelling of 206155890 in words is "two hundred six million, one hundred fifty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 279 285 310 342 465 558 570 589 855 930 1178 1395 1710 1767 2790 2945 3534 3889 5301 5890 7778 8835 10602 11667 17670 19445 23334 26505 35001 38890 53010 58335 70002 73891 116670 120559 147782 175005 221673 241118 350010 361677 369455 443346 602795 665019 723354 738910 1085031 1108365 1205590 1330038 1808385 2170062 2216730 2290621 3325095 3616770 4581242 5425155 6650190 6871863 10850310 11453105 13743726 20615589 22906210 34359315 41231178 68718630 103077945 206155890