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961056640 = 2752575843
BaseRepresentation
bin111001010010001…
…000111110000000
32110222101201212101
4321102020332000
53432012303030
6235210440144
732546563255
oct7122107600
92428351771
10961056640
11453545095
12229a33054
1312415358b
14918d142c
155958c7ca
hex39488f80

961056640 has 64 divisors (see below), whose sum is σ = 2306860560. Its totient is φ = 382861312.

The previous prime is 961056619. The next prime is 961056659. The reversal of 961056640 is 46650169.

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

It is a self number, because there is not a number n which added to its sum of digits gives 961056640.

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, 161559 + ... + 167401.

Almost surely, 2961056640 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 961056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153430280).

961056640 is an abundant number, since it is smaller than the sum of its proper divisors (1345803920).

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

961056640 is a wasteful number, since it uses less digits than its factorization.

961056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 961056640 is about 31000.9135349267. The cubic root of 961056640 is about 986.8466273482.

The spelling of 961056640 in words is "nine hundred sixty-one million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 257 320 514 640 1028 1285 2056 2570 4112 5140 5843 8224 10280 11686 16448 20560 23372 29215 32896 41120 46744 58430 82240 93488 116860 164480 186976 233720 373952 467440 747904 934880 1501651 1869760 3003302 3739520 6006604 7508255 12013208 15016510 24026416 30033020 48052832 60066040 96105664 120132080 192211328 240264160 480528320 961056640