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63030016 = 287172069
BaseRepresentation
bin1111000001110…
…0001100000000
311101121020221001
43300130030000
5112113430031
610130541344
71363513660
oct360341400
9141536831
1063030016
1132640425
1219137854
131009b18a
14852a1a0
155800861
hex3c1c300

63030016 has 72 divisors (see below), whose sum is σ = 152318880. Its totient is φ = 25411584.

The previous prime is 63029987. The next prime is 63030041. The reversal of 63030016 is 61003036.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 63029975 and 63030002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29430 + ... + 31498.

It is an arithmetic number, because the mean of its divisors is an integer number (2115540).

Almost surely, 263030016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76159440).

63030016 is an abundant number, since it is smaller than the sum of its proper divisors (89288864).

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

63030016 is a wasteful number, since it uses less digits than its factorization.

63030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 63030016 is about 7939.1445382988. The cubic root of 63030016 is about 397.9689040796.

The spelling of 63030016 in words is "sixty-three million, thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2069 2176 3808 4138 4352 7616 8276 14483 15232 16552 28966 30464 33104 35173 57932 66208 70346 115864 132416 140692 231728 246211 264832 281384 463456 492422 529664 562768 926912 984844 1125536 1853824 1969688 2251072 3707648 3939376 4502144 7878752 9004288 15757504 31515008 63030016