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63248130 = 232511292203
BaseRepresentation
bin1111000101000…
…1011100000010
311102000100010100
43301101130002
5112142420010
610135343230
71365412611
oct361213402
9142010110
1063248130
113277a290
1219221b16
131014653a
148585878
1558452c0
hex3c51702

63248130 has 96 divisors (see below), whose sum is σ = 185664960. Its totient is φ = 14797440.

The previous prime is 63248123. The next prime is 63248147. The reversal of 63248130 is 3184236.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 63248094 and 63248103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27609 + ... + 29811.

It is an arithmetic number, because the mean of its divisors is an integer number (1934010).

Almost surely, 263248130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63248130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92832480).

63248130 is an abundant number, since it is smaller than the sum of its proper divisors (122416830).

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

63248130 is a wasteful number, since it uses less digits than its factorization.

63248130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 63248130 is about 7952.8692935317. The cubic root of 63248130 is about 398.4274298262.

The spelling of 63248130 in words is "sixty-three million, two hundred forty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1305 1595 1914 2203 2610 2871 3190 4406 4785 5742 6609 9570 11015 13218 14355 19827 22030 24233 28710 33045 39654 48466 63887 66090 72699 99135 121165 127774 145398 191661 198270 218097 242330 319435 363495 383322 436194 574983 638870 702757 726990 958305 1090485 1149966 1405514 1916610 2108271 2180970 2874915 3513785 4216542 5749830 6324813 7027570 10541355 12649626 21082710 31624065 63248130