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960667488 = 253211714271
BaseRepresentation
bin111001010000101…
…001111101100000
32110221122222001100
4321100221331200
53431412324423
6235154234400
732543352564
oct7120517540
92427588040
10960667488
114532a9780
12229885a00
13124048401
149182d6a4
1559512343
hex39429f60

960667488 has 144 divisors (see below), whose sum is σ = 3022935552. Its totient is φ = 286944000.

The previous prime is 960667483. The next prime is 960667567. The reversal of 960667488 is 884766069.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960667483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222793 + ... + 227063.

It is an arithmetic number, because the mean of its divisors is an integer number (20992608).

Almost surely, 2960667488 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 960667488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511467776).

960667488 is an abundant number, since it is smaller than the sum of its proper divisors (2062268064).

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

960667488 is a wasteful number, since it uses less digits than its factorization.

960667488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 960667488 is about 30994.6364392293. The cubic root of 960667488 is about 986.7134110635.

The spelling of 960667488 in words is "nine hundred sixty million, six hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 71 72 88 96 99 132 142 144 176 198 213 264 284 288 352 396 426 528 568 639 781 792 852 1056 1136 1278 1562 1584 1704 2272 2343 2556 3124 3168 3408 4271 4686 5112 6248 6816 7029 8542 9372 10224 12496 12813 14058 17084 18744 20448 24992 25626 28116 34168 37488 38439 46981 51252 56232 68336 74976 76878 93962 102504 112464 136672 140943 153756 187924 205008 224928 281886 303241 307512 375848 410016 422829 563772 606482 615024 751696 845658 909723 1127544 1212964 1230048 1503392 1691316 1819446 2255088 2425928 2729169 3335651 3382632 3638892 4510176 4851856 5458338 6671302 6765264 7277784 9703712 10006953 10916676 13342604 13530528 14555568 20013906 21833352 26685208 29111136 30020859 40027812 43666704 53370416 60041718 80055624 87333408 106740832 120083436 160111248 240166872 320222496 480333744 960667488