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261064128 = 26313104593
BaseRepresentation
bin11111000111110…
…00010111000000
3200012020102122210
433203320113000
51013313023003
641523302120
76320002623
oct1743702700
9605212583
10261064128
11124400386
127351a940
1342117720
1426959dba
1517dbc503
hexf8f85c0

261064128 has 56 divisors (see below), whose sum is σ = 743872528. Its totient is φ = 80326656.

The previous prime is 261064117. The next prime is 261064147. The reversal of 261064128 is 821460162.

261064128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 261064095 and 261064104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49801 + ... + 54792.

It is an arithmetic number, because the mean of its divisors is an integer number (13283438).

Almost surely, 2261064128 is an apocalyptic number.

It is an amenable number.

261064128 is an abundant number, since it is smaller than the sum of its proper divisors (482808400).

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

261064128 is a wasteful number, since it uses less digits than its factorization.

261064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104621 (or 104611 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 261064128 is about 16157.4790112814. The cubic root of 261064128 is about 639.1199884395.

The spelling of 261064128 in words is "two hundred sixty-one million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 104593 209186 313779 418372 627558 836744 1255116 1359709 1673488 2510232 2719418 3346976 4079127 5020464 5438836 6693952 8158254 10040928 10877672 16316508 20081856 21755344 32633016 43510688 65266032 87021376 130532064 261064128