Search a number
-
+
63084021 = 37211133001
BaseRepresentation
bin1111000010100…
…1010111110101
311101201000000020
43300221113311
5112122142041
610132035353
71364130300
oct360512765
9141630006
1063084021
1132677a60
1219162b59
13100b9930
148541b37
155811866
hex3c295f5

63084021 has 48 divisors (see below), whose sum is σ = 114988608. Its totient is φ = 30240000.

The previous prime is 63083989. The next prime is 63084029. The reversal of 63084021 is 12048036.

It is a happy number.

It is not a de Polignac number, because 63084021 - 25 = 63083989 is a prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 63083982 and 63084000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63084029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19521 + ... + 22521.

It is an arithmetic number, because the mean of its divisors is an integer number (2395596).

Almost surely, 263084021 is an apocalyptic number.

It is an amenable number.

63084021 is a deficient number, since it is larger than the sum of its proper divisors (51904587).

63084021 is a wasteful number, since it uses less digits than its factorization.

63084021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 63084021 is about 7942.5449951511. The cubic root of 63084021 is about 398.0825334087.

The spelling of 63084021 in words is "sixty-three million, eighty-four thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3001 3003 7007 9003 21007 21021 33011 39013 63021 99033 117039 147049 231077 273091 429143 441147 693231 819273 1287429 1617539 1911637 3004001 4852617 5734911 9012003 21028007 63084021