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960534112 = 25472332741
BaseRepresentation
bin111001010000001…
…001011001100000
32110221102012002111
4321100021121200
53431344042422
6235151325104
732542255666
oct7120113140
92427365074
10960534112
1145321854a
12229820794
13123ccc7a5
14917d6c36
15594d7a77
hex39409660

960534112 has 48 divisors (see below), whose sum is σ = 1940283072. Its totient is φ = 467860480.

The previous prime is 960534089. The next prime is 960534131. The reversal of 960534112 is 211435069.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349062 + ... + 351802.

It is an arithmetic number, because the mean of its divisors is an integer number (40422564).

Almost surely, 2960534112 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 960534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970141536).

960534112 is an abundant number, since it is smaller than the sum of its proper divisors (979748960).

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

960534112 is a wasteful number, since it uses less digits than its factorization.

960534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 960534112 is about 30992.4847664720. The cubic root of 960534112 is about 986.6677449059.

The spelling of 960534112 in words is "nine hundred sixty million, five hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 188 233 376 466 752 932 1504 1864 2741 3728 5482 7456 10951 10964 21902 21928 43804 43856 87608 87712 128827 175216 257654 350432 515308 638653 1030616 1277306 2061232 2554612 4122464 5109224 10218448 20436896 30016691 60033382 120066764 240133528 480267056 960534112