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960096 = 25373137
BaseRepresentation
bin11101010011001100000
31210210000010
43222121200
5221210341
632324520
711106054
oct3523140
91723003
10960096
115a6375
123a3740
13278007
141adc64
1513e716
hexea660

960096 has 48 divisors (see below), whose sum is σ = 2573424. Its totient is φ = 313344.

The previous prime is 960077. The next prime is 960119. The reversal of 960096 is 690069.

It is a tau number, because it is divible by the number of its divisors (48).

960096 is a strobogrammatic number because it is the same when read upside-down.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

960096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6940 + ... + 7076.

It is an arithmetic number, because the mean of its divisors is an integer number (53613).

2960096 is an apocalyptic number.

960096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286712).

960096 is an abundant number, since it is smaller than the sum of its proper divisors (1613328).

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

960096 is a wasteful number, since it uses less digits than its factorization.

960096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 960096 is about 979.8448856834. The cubic root of 960096 is about 98.6517711464.

It can be divided in two parts, 9600 and 96, that multiplied together give a square (921600 = 9602).

The spelling of 960096 in words is "nine hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 137 146 219 274 292 411 438 548 584 822 876 1096 1168 1644 1752 2192 2336 3288 3504 4384 6576 7008 10001 13152 20002 30003 40004 60006 80008 120012 160016 240024 320032 480048 960096