Search a number
-
+
60808128 = 2632967163
BaseRepresentation
bin1110011111110…
…1101111000000
311020102101001220
43213331233000
5111031330003
610011155040
71335601113
oct347755700
9136371056
1060808128
1131363057
1218445a80
13c7a0a54
14810c57a
155512353
hex39fdbc0

60808128 has 112 divisors (see below), whose sum is σ = 169956480. Its totient is φ = 19160064.

The previous prime is 60808127. The next prime is 60808147. The reversal of 60808128 is 82180806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60808123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372975 + ... + 373137.

Almost surely, 260808128 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 60808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84978240).

60808128 is an abundant number, since it is smaller than the sum of its proper divisors (109148352).

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

60808128 is a wasteful number, since it uses less digits than its factorization.

60808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 60808128 is about 7797.9566554322. The cubic root of 60808128 is about 393.2365506077.

The spelling of 60808128 in words is "sixty million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 116 134 163 174 192 201 232 268 326 348 402 464 489 536 652 696 804 928 978 1072 1304 1392 1608 1856 1943 1956 2144 2608 2784 3216 3886 3912 4288 4727 5216 5568 5829 6432 7772 7824 9454 10432 10921 11658 12864 14181 15544 15648 18908 21842 23316 28362 31088 31296 32763 37816 43684 46632 56724 62176 65526 75632 87368 93264 113448 124352 131052 151264 174736 186528 226896 262104 302528 316709 349472 373056 453792 524208 633418 698944 907584 950127 1048416 1266836 1900254 2096832 2533672 3800508 5067344 7601016 10134688 15202032 20269376 30404064 60808128