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206661540 = 223529731627
BaseRepresentation
bin11000101000101…
…10011110100100
3112101212111100010
430110112132210
5410401132130
632301250220
75056410531
oct1424263644
9471774303
10206661540
11a6722968
1259263970
1333a7a447
141d637d88
15132230b0
hexc5167a4

206661540 has 96 divisors (see below), whose sum is σ = 607178880. Its totient is φ = 52448256.

The previous prime is 206661529. The next prime is 206661541. The reversal of 206661540 is 45166602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206661498 and 206661507.

It is not an unprimeable number, because it can be changed into a prime (206661541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126207 + ... + 127833.

It is an arithmetic number, because the mean of its divisors is an integer number (6324780).

Almost surely, 2206661540 is an apocalyptic number.

206661540 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 206661540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303589440).

206661540 is an abundant number, since it is smaller than the sum of its proper divisors (400517340).

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

206661540 is a wasteful number, since it uses less digits than its factorization.

206661540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 206661540 is about 14375.7274598540. The cubic root of 206661540 is about 591.2255860489.

The spelling of 206661540 in words is "two hundred six million, six hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 290 292 348 365 435 438 580 730 870 876 1095 1460 1627 1740 2117 2190 3254 4234 4380 4881 6351 6508 8135 8468 9762 10585 12702 16270 19524 21170 24405 25404 31755 32540 42340 47183 48810 63510 94366 97620 118771 127020 141549 188732 235915 237542 283098 356313 471830 475084 566196 593855 707745 712626 943660 1187710 1415490 1425252 1781565 2375420 2830980 3444359 3563130 6888718 7126260 10333077 13777436 17221795 20666154 34443590 41332308 51665385 68887180 103330770 206661540