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1663537740 = 223547619953
BaseRepresentation
bin110001100100111…
…1001001001001100
311021221020110202220
41203021321021030
511401331201430
6433023215340
756136560154
oct14311711114
94257213686
101663537740
11784029587
123a5147550
13206851077
1411ad13764
159b0a0110
hex6327924c

1663537740 has 96 divisors (see below), whose sum is σ = 4769694720. Its totient is φ = 433015296.

The previous prime is 1663537697. The next prime is 1663537763. The reversal of 1663537740 is 477353661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1663537692 and 1663537701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745104 + ... + 1746056.

It is an arithmetic number, because the mean of its divisors is an integer number (49684320).

Almost surely, 21663537740 is an apocalyptic number.

1663537740 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 1663537740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384847360).

1663537740 is an abundant number, since it is smaller than the sum of its proper divisors (3106156980).

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

1663537740 is a wasteful number, since it uses less digits than its factorization.

1663537740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 1663537740 is about 40786.4896748911. The cubic root of 1663537740 is about 1184.8886861560. Note that the first 3 decimals are identical.

The spelling of 1663537740 in words is "one billion, six hundred sixty-three million, five hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 619 705 940 953 1238 1410 1857 1906 2476 2820 2859 3095 3714 3812 4765 5718 6190 7428 9285 9530 11436 12380 14295 18570 19060 28590 29093 37140 44791 57180 58186 87279 89582 116372 134373 145465 174558 179164 223955 268746 290930 349116 436395 447910 537492 581860 589907 671865 872790 895820 1179814 1343730 1745580 1769721 2359628 2687460 2949535 3539442 5899070 7078884 8848605 11798140 17697210 27725629 35394420 55451258 83176887 110902516 138628145 166353774 277256290 332707548 415884435 554512580 831768870 1663537740