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1663960840 = 235295692521
BaseRepresentation
bin110001100101110…
…0000011100001000
311021222000222011021
41203023200130020
511401433221330
6433040242224
756143301533
oct14313403410
94258028137
101663960840
11784298453
123a5310374
1320696b819
1411adc3a1a
159b13567a
hex632e0708

1663960840 has 64 divisors (see below), whose sum is σ = 3881358000. Its totient is φ = 641249280.

The previous prime is 1663960819. The next prime is 1663960841. The reversal of 1663960840 is 480693661.

It can be written as a sum of positive squares in 8 ways, for example, as 44542276 + 1619418564 = 6674^2 + 40242^2 .

It is not an unprimeable number, because it can be changed into a prime (1663960841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658780 + ... + 661300.

Almost surely, 21663960840 is an apocalyptic number.

1663960840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940679000).

1663960840 is an abundant number, since it is smaller than the sum of its proper divisors (2217397160).

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

1663960840 is a wasteful number, since it uses less digits than its factorization.

1663960840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 1663960840 is about 40791.6761116775. The cubic root of 1663960840 is about 1184.9891315091.

The spelling of 1663960840 in words is "one billion, six hundred sixty-three million, nine hundred sixty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 569 580 1138 1160 2276 2521 2845 4552 5042 5690 10084 11380 12605 16501 20168 22760 25210 33002 50420 66004 73109 82505 100840 132008 146218 165010 292436 330020 365545 584872 660040 731090 1434449 1462180 2868898 2924360 5737796 7172245 11475592 14344490 28688980 41599021 57377960 83198042 166396084 207995105 332792168 415990210 831980420 1663960840