Search a number
-
+
60930528 = 2531913323
BaseRepresentation
bin1110100001101…
…1100111100000
311020122120222020
43220123213200
5111044234103
610013541440
71336621011
oct350334740
9136576866
1060930528
113143700a
12184a4880
13c814689
148141008
155538753
hex3a1b9e0

60930528 has 48 divisors (see below), whose sum is σ = 160828416. Its totient is φ = 20197760.

The previous prime is 60930523. The next prime is 60930553. The reversal of 60930528 is 82503906.

It is a happy number.

60930528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60930523) 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 7 ways as a sum of consecutive naturals, for example, 16675 + ... + 19997.

It is an arithmetic number, because the mean of its divisors is an integer number (3350592).

Almost surely, 260930528 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 60930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80414208).

60930528 is an abundant number, since it is smaller than the sum of its proper divisors (99897888).

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

60930528 is a wasteful number, since it uses less digits than its factorization.

60930528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 60930528 is about 7805.8009198288. The cubic root of 60930528 is about 393.5002209236.

The spelling of 60930528 in words is "sixty million, nine hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 3323 4584 6112 6646 9168 9969 13292 18336 19938 26584 39876 53168 79752 106336 159504 319008 634693 1269386 1904079 2538772 3808158 5077544 7616316 10155088 15232632 20310176 30465264 60930528