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261066150 = 23252599833
BaseRepresentation
bin11111000111110…
…00110110100110
3200012020112102200
433203320312212
51013313104100
641523315330
76320011542
oct1743706646
9605215380
10261066150
11124401954
127351bb46
1342118617
142695aa22
1517dbce00
hexf8f8da6

261066150 has 72 divisors (see below), whose sum is σ = 713358360. Its totient is φ = 68430720.

The previous prime is 261066133. The next prime is 261066163. The reversal of 261066150 is 51660162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21634 + ... + 31466.

It is an arithmetic number, because the mean of its divisors is an integer number (9907755).

Almost surely, 2261066150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261066150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356679180).

261066150 is an abundant number, since it is smaller than the sum of its proper divisors (452292210).

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

261066150 is a wasteful number, since it uses less digits than its factorization.

261066150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 261066150 is about 16157.5415828028. The cubic root of 261066150 is about 639.1216384776.

The spelling of 261066150 in words is "two hundred sixty-one million, sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 75 90 118 150 177 225 295 354 450 531 590 885 1062 1475 1770 2655 2950 4425 5310 8850 9833 13275 19666 26550 29499 49165 58998 88497 98330 147495 176994 245825 294990 442485 491650 580147 737475 884970 1160294 1474950 1740441 2212425 2900735 3480882 4424850 5221323 5801470 8702205 10442646 14503675 17404410 26106615 29007350 43511025 52213230 87022050 130533075 261066150