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960066640 = 24513923141
BaseRepresentation
bin111001001110010…
…111010001010000
32110220112102211201
4321032113101100
53431234113030
6235133320544
732535301051
oct7116272120
92426472751
10960066640
11452a29305
12229636154
13123b97a90
1491714728
15594442ca
hex39397450

960066640 has 40 divisors (see below), whose sum is σ = 2403861768. Its totient is φ = 354485760.

The previous prime is 960066631. The next prime is 960066647. The reversal of 960066640 is 46660069.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 951352336 = 2952^2 + 30844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 960066640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960066647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460531 + ... + 462610.

Almost surely, 2960066640 is an apocalyptic number.

It is an amenable number.

960066640 is an abundant number, since it is smaller than the sum of its proper divisors (1443795128).

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

960066640 is a wasteful number, since it uses less digits than its factorization.

960066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923167 (or 923161 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 960066640 is about 30984.9421493731. The cubic root of 960066640 is about 986.5076553669.

The spelling of 960066640 in words is "nine hundred sixty million, sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 923141 1846282 3692564 4615705 7385128 9231410 12000833 14770256 18462820 24001666 36925640 48003332 60004165 73851280 96006664 120008330 192013328 240016660 480033320 960066640