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63020364 = 2231129101163
BaseRepresentation
bin1111000001100…
…1110101001100
311101120202200120
43300121311030
5112113122424
610130424540
71363443561
oct360316514
9141522616
1063020364
1132634150
1219132150
1310096974
148526868
1557eca79
hex3c19d4c

63020364 has 96 divisors (see below), whose sum is σ = 168618240. Its totient is φ = 18144000.

The previous prime is 63020317. The next prime is 63020383. The reversal of 63020364 is 46302036.

63020364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386547 + ... + 386709.

It is an arithmetic number, because the mean of its divisors is an integer number (1756440).

Almost surely, 263020364 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 63020364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84309120).

63020364 is an abundant number, since it is smaller than the sum of its proper divisors (105597876).

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

63020364 is a wasteful number, since it uses less digits than its factorization.

63020364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 63020364 is about 7938.5366409685. The cubic root of 63020364 is about 397.9485889335.

The spelling of 63020364 in words is "sixty-three million, twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 101 116 132 163 174 202 303 319 326 348 404 489 606 638 652 957 978 1111 1212 1276 1793 1914 1956 2222 2929 3333 3586 3828 4444 4727 5379 5858 6666 7172 8787 9454 10758 11716 13332 14181 16463 17574 18908 21516 28362 32219 32926 35148 49389 51997 56724 64438 65852 96657 98778 103994 128876 155991 181093 193314 197556 207988 311982 362186 386628 477427 543279 623964 724372 954854 1086558 1432281 1909708 2173116 2864562 5251697 5729124 10503394 15755091 21006788 31510182 63020364