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261068688 = 243213913043
BaseRepresentation
bin11111000111110…
…01011110010000
3200012020122220200
433203321132100
51013313144223
641523335200
76320022126
oct1743713620
9605218820
10261068688
11124403851
1273521500
134211981a
142695b916
1517dbda43
hexf8f9790

261068688 has 60 divisors (see below), whose sum is σ = 735942480. Its totient is φ = 86390208.

The previous prime is 261068681. The next prime is 261068723. The reversal of 261068688 is 886860162.

It is a super-3 number, since 3×2610686883 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (261068681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13495 + ... + 26537.

It is an arithmetic number, because the mean of its divisors is an integer number (12265708).

Almost surely, 2261068688 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 261068688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367971240).

261068688 is an abundant number, since it is smaller than the sum of its proper divisors (474873792).

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

261068688 is a wasteful number, since it uses less digits than its factorization.

261068688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13196 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 261068688 is about 16157.6201217877. The cubic root of 261068688 is about 639.1237095816.

The spelling of 261068688 in words is "two hundred sixty-one million, sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 13043 20016 26086 39129 52172 78258 104344 117387 156516 208688 234774 313032 469548 626064 939096 1812977 1878192 3625954 5438931 7251908 10877862 14503816 16316793 21755724 29007632 32633586 43511448 65267172 87022896 130534344 261068688