Search a number
-
+
60221064 = 2335971599
BaseRepresentation
bin1110010110111…
…0011010001000
311012022112202210
43211232122020
5110404033224
65550425120
71330604421
oct345563210
9135275683
1060221064
1130aa1a82
12182021a0
13c626787
147dd8648
155448429
hex396e688

60221064 has 64 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 19423040.

The previous prime is 60221041. The next prime is 60221071. The reversal of 60221064 is 46012206.

It is a happy number.

60221064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 60221064.

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 15 ways as a sum of consecutive naturals, for example, 100237 + ... + 100835.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 260221064 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 60221064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

60221064 is an abundant number, since it is smaller than the sum of its proper divisors (95298936).

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

60221064 is a wasteful number, since it uses less digits than its factorization.

60221064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 60221064 is about 7760.2231926666. The cubic root of 60221064 is about 391.9669727832.

The spelling of 60221064 in words is "sixty million, two hundred twenty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 71 118 142 177 213 236 284 354 426 472 568 599 708 852 1198 1416 1704 1797 2396 3594 4189 4792 7188 8378 12567 14376 16756 25134 33512 35341 42529 50268 70682 85058 100536 106023 127587 141364 170116 212046 255174 282728 340232 424092 510348 848184 1020696 2509211 5018422 7527633 10036844 15055266 20073688 30110532 60221064