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60960528 = 24323491213
BaseRepresentation
bin1110100010001…
…0111100010000
311020201010010100
43220202330100
5111101214103
610014332400
71340104326
oct350427420
9136633110
1060960528
1131457602
12184ba100
13c825225
14814bd16
1555425a3
hex3a22f10

60960528 has 60 divisors (see below), whose sum is σ = 171234700. Its totient is φ = 20245248.

The previous prime is 60960527. The next prime is 60960583. The reversal of 60960528 is 82506906.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 40602384 = 4512^2 + 6372^2 .

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 = 60960492 and 60960501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60960527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49650 + ... + 50862.

Almost surely, 260960528 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 60960528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85617350).

60960528 is an abundant number, since it is smaller than the sum of its proper divisors (110274172).

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

60960528 is a wasteful number, since it uses less digits than its factorization.

60960528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 60960528 is about 7807.7223311283. The cubic root of 60960528 is about 393.5647921115.

The spelling of 60960528 in words is "sixty million, nine hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 1047 1213 1396 2094 2426 2792 3141 3639 4188 4852 5584 6282 7278 8376 9704 10917 12564 14556 16752 19408 21834 25128 29112 43668 50256 58224 87336 174672 423337 846674 1270011 1693348 2540022 3386696 3810033 5080044 6773392 7620066 10160088 15240132 20320176 30480264 60960528