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960330112 = 2771099833
BaseRepresentation
bin111001001111010…
…111100110000000
32110221000211020221
4321033113212000
53431321030422
6235143112424
732540446150
oct7117274600
92427024227
10960330112
11453099255
12229742714
13123c5a991
1491782760
15594973c7
hex393d7980

960330112 has 64 divisors (see below), whose sum is σ = 2206749600. Its totient is φ = 407752704.

The previous prime is 960330097. The next prime is 960330127. The reversal of 960330112 is 211033069.

960330112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (960330097) and next prime (960330127).

It is a tau number, because it is divible by the number of its divisors (64).

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, 92748 + ... + 102580.

Almost surely, 2960330112 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 960330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103374800).

960330112 is an abundant number, since it is smaller than the sum of its proper divisors (1246419488).

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

960330112 is a wasteful number, since it uses less digits than its factorization.

960330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 960330112 is about 30989.1934712732. The cubic root of 960330112 is about 986.5978898573.

The spelling of 960330112 in words is "nine hundred sixty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 436 448 763 872 896 1526 1744 3052 3488 6104 6976 9833 12208 13952 19666 24416 39332 48832 68831 78664 97664 137662 157328 275324 314656 550648 629312 1071797 1101296 1258624 2143594 2202592 4287188 4405184 7502579 8574376 8810368 15005158 17148752 30010316 34297504 60020632 68595008 120041264 137190016 240082528 480165056 960330112