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1663997560 = 235238812053
BaseRepresentation
bin110001100101110…
…1001011001111000
311021222002211112021
41203023221121320
511401440410220
6433041124224
756143513561
oct14313513170
94258084467
101663997560
11784312aa5
123a5329674
13206982454
1411add3168
159b1414aa
hex632e9678

1663997560 has 64 divisors (see below), whose sum is σ = 3913116480. Its totient is φ = 635627520.

The previous prime is 1663997513. The next prime is 1663997563. The reversal of 1663997560 is 657993661.

It is a junction number, because it is equal to n+sod(n) for n = 1663997498 and 1663997507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663997563) 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, 809494 + ... + 811546.

It is an arithmetic number, because the mean of its divisors is an integer number (61142445).

Almost surely, 21663997560 is an apocalyptic number.

1663997560 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 1663997560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956558240).

1663997560 is an abundant number, since it is smaller than the sum of its proper divisors (2249118920).

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

1663997560 is a wasteful number, since it uses less digits than its factorization.

1663997560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The square root of 1663997560 is about 40792.1262010207. The cubic root of 1663997560 is about 1184.9978481567.

The spelling of 1663997560 in words is "one billion, six hundred sixty-three million, nine hundred ninety-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 881 920 1762 2053 3524 4106 4405 7048 8212 8810 10265 16424 17620 20263 20530 35240 40526 41060 47219 81052 82120 94438 101315 162104 188876 202630 236095 377752 405260 472190 810520 944380 1808693 1888760 3617386 7234772 9043465 14469544 18086930 36173860 41599939 72347720 83199878 166399756 207999695 332799512 415999390 831998780 1663997560