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960107304 = 23313612827
BaseRepresentation
bin111001001110100…
…001001100101000
32110220121111121210
4321032201030220
53431241413204
6235134233120
732535530442
oct7116411450
92426544553
10960107304
11452a56912
122296557a0
13123bb0440
1491725492
1559451389
hex393a1328

960107304 has 96 divisors (see below), whose sum is σ = 2631152160. Its totient is φ = 290223360.

The previous prime is 960107299. The next prime is 960107329. The reversal of 960107304 is 403701069.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1160539 + ... + 1161365.

It is an arithmetic number, because the mean of its divisors is an integer number (27407835).

Almost surely, 2960107304 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 960107304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315576080).

960107304 is an abundant number, since it is smaller than the sum of its proper divisors (1671044856).

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

960107304 is a wasteful number, since it uses less digits than its factorization.

960107304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 960107304 is about 30985.5983321284. The cubic root of 960107304 is about 986.5215831435.

The spelling of 960107304 in words is "nine hundred sixty million, one hundred seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 827 1464 1586 1654 2379 2481 3172 3308 3721 4758 4962 6344 6616 7442 9516 9924 10751 11163 14884 19032 19848 21502 22326 29768 32253 43004 44652 48373 50447 64506 86008 89304 96746 100894 129012 145119 151341 193492 201788 258024 290238 302682 386984 403576 580476 605364 655811 1160952 1210728 1311622 1967433 2623244 3077267 3934866 5246488 6154534 7869732 9231801 12309068 15739464 18463602 24618136 36927204 40004471 73854408 80008942 120013413 160017884 240026826 320035768 480053652 960107304