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261042150 = 235271127193
BaseRepresentation
bin11111000111100…
…10111111100110
3200012012022111210
433203302333212
51013311322100
641523012250
76316551555
oct1743627746
9605168453
10261042150
11124395916
127350a086
134210a715
1426951d9c
1517db5c50
hexf8f2fe6

261042150 has 96 divisors (see below), whose sum is σ = 665100288. Its totient is φ = 67737600.

The previous prime is 261042101. The next prime is 261042161. The reversal of 261042150 is 51240162.

261042150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1352454 + ... + 1352646.

It is an arithmetic number, because the mean of its divisors is an integer number (6928128).

Almost surely, 2261042150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261042150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332550144).

261042150 is an abundant number, since it is smaller than the sum of its proper divisors (404058138).

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

261042150 is a wasteful number, since it uses less digits than its factorization.

261042150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 261042150 is about 16156.7988784908. The cubic root of 261042150 is about 639.1020529059.

The spelling of 261042150 in words is "two hundred sixty-one million, forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 127 142 150 193 213 254 355 381 386 426 579 635 710 762 965 1065 1158 1270 1775 1905 1930 2130 2895 3175 3550 3810 4825 5325 5790 6350 9017 9525 9650 10650 13703 14475 18034 19050 24511 27051 27406 28950 41109 45085 49022 54102 68515 73533 82218 90170 122555 135255 137030 147066 205545 225425 245110 270510 342575 367665 411090 450850 612775 676275 685150 735330 1027725 1225550 1352550 1740281 1838325 2055450 3480562 3676650 5220843 8701405 10441686 17402810 26104215 43507025 52208430 87014050 130521075 261042150