Search a number
-
+
60638328 = 23331312143
BaseRepresentation
bin1110011101010…
…0010001111000
311020002202011000
43213110101320
5111010411303
610003405000
71334263062
oct347242170
9136082130
1060638328
1131257523
1218383760
13c74168a
1480a6732
1554cbda3
hex39d4478

60638328 has 64 divisors (see below), whose sum is σ = 169804800. Its totient is φ = 20049120.

The previous prime is 60638323. The next prime is 60638339. The reversal of 60638328 is 82383606.

60638328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60638292 and 60638301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60638323) by changing a digit.

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, 27225 + ... + 29367.

It is an arithmetic number, because the mean of its divisors is an integer number (2653200).

Almost surely, 260638328 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 60638328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84902400).

60638328 is an abundant number, since it is smaller than the sum of its proper divisors (109166472).

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

60638328 is a wasteful number, since it uses less digits than its factorization.

60638328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 60638328 is about 7787.0615767438. The cubic root of 60638328 is about 392.8701861329.

The spelling of 60638328 in words is "sixty million, six hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2143 2358 3144 3537 4286 4716 6429 7074 8572 9432 12858 14148 17144 19287 25716 28296 38574 51432 57861 77148 115722 154296 231444 280733 462888 561466 842199 1122932 1684398 2245864 2526597 3368796 5053194 6737592 7579791 10106388 15159582 20212776 30319164 60638328