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60132640 = 2552331613
BaseRepresentation
bin1110010101100…
…0110100100000
311012011001110211
43211120310200
5110343221030
65544503504
71330055551
oct345306440
9135131424
1060132640
1130a415a7
121817ab94
13c5c5459
147db4328
15542c12a
hex3958d20

60132640 has 48 divisors (see below), whose sum is σ = 142761528. Its totient is φ = 23934976.

The previous prime is 60132617. The next prime is 60132643. The reversal of 60132640 is 4623106.

It can be written as a sum of positive squares in 4 ways, for example, as 43191184 + 16941456 = 6572^2 + 4116^2 .

It is not an unprimeable number, because it can be changed into a prime (60132643) 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 7 ways as a sum of consecutive naturals, for example, 36474 + ... + 38086.

Almost surely, 260132640 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 60132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71380764).

60132640 is an abundant number, since it is smaller than the sum of its proper divisors (82628888).

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

60132640 is a wasteful number, since it uses less digits than its factorization.

60132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 60132640 is about 7754.5238409589. The cubic root of 60132640 is about 391.7750340448.

Adding to 60132640 its reverse (4623106), we get a palindrome (64755746).

The spelling of 60132640 in words is "sixty million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1613 1864 2330 3226 3728 4660 6452 7456 8065 9320 12904 16130 18640 25808 32260 37280 51616 64520 129040 258080 375829 751658 1503316 1879145 3006632 3758290 6013264 7516580 12026528 15033160 30066320 60132640