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960474672 = 2434838929
BaseRepresentation
bin111001001111111…
…010111000110000
32110221022011120000
4321033322320300
53431340142142
6235150150000
732541620463
oct7117727060
92427264500
10960474672
11453187923
122297b2300
13123cab711
14917bd2da
15594c514c
hex393fae30

960474672 has 100 divisors (see below), whose sum is σ = 2813700120. Its totient is φ = 316265472.

The previous prime is 960474667. The next prime is 960474679. The reversal of 960474672 is 276474069.

It is not an unprimeable number, because it can be changed into a prime (960474679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103104 + ... + 112032.

Almost surely, 2960474672 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 960474672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406850060).

960474672 is an abundant number, since it is smaller than the sum of its proper divisors (1853225448).

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

960474672 is a wasteful number, since it uses less digits than its factorization.

960474672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 960474672 is about 30991.5258094854. The cubic root of 960474672 is about 986.6473920835.

The spelling of 960474672 in words is "nine hundred sixty million, four hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 648 664 747 996 1296 1328 1494 1992 2241 2988 3984 4482 5976 6723 8929 8964 11952 13446 17858 17928 26787 26892 35716 35856 53574 53784 71432 80361 107148 107568 142864 160722 214296 241083 321444 428592 482166 642888 723249 741107 964332 1285776 1446498 1482214 1928664 2223321 2892996 2964428 3857328 4446642 5785992 5928856 6669963 8893284 11571984 11857712 13339926 17786568 20009889 26679852 35573136 40019778 53359704 60029667 80039556 106719408 120059334 160079112 240118668 320158224 480237336 960474672