Search a number
-
+
63798540 = 223513263311
BaseRepresentation
bin1111001101011…
…1110100001100
311110001022010220
43303113310030
5112313023130
610155231340
71403164401
oct363276414
9143038126
1063798540
1133015873
1219448550
13102a9c20
14868a2a8
155903410
hex3cd7d0c

63798540 has 96 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 15594240.

The previous prime is 63798533. The next prime is 63798551. The reversal of 63798540 is 4589736.

It is a happy number.

It is a super-2 number, since 2×637985402 = 8140507412263200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63798492 and 63798501.

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, 204985 + ... + 205295.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 263798540 is an apocalyptic number.

63798540 is a gapful number since it is divisible by the number (60) 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 63798540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

63798540 is an abundant number, since it is smaller than the sum of its proper divisors (129930996).

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

63798540 is a wasteful number, since it uses less digits than its factorization.

63798540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 63798540 is about 7987.3988256503. The cubic root of 63798540 is about 399.5798505072.

The spelling of 63798540 in words is "sixty-three million, seven hundred ninety-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 263 311 390 526 622 780 789 933 1052 1244 1315 1555 1578 1866 2630 3110 3156 3419 3732 3945 4043 4665 5260 6220 6838 7890 8086 9330 10257 12129 13676 15780 16172 17095 18660 20215 20514 24258 34190 40430 41028 48516 51285 60645 68380 80860 81793 102570 121290 163586 205140 242580 245379 327172 408965 490758 817930 981516 1063309 1226895 1635860 2126618 2453790 3189927 4253236 4907580 5316545 6379854 10633090 12759708 15949635 21266180 31899270 63798540