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60634016 = 2519313217
BaseRepresentation
bin1110011101001…
…1001110100000
311020002112020022
43213103032200
5111010242031
610003333012
71334244362
oct347231640
9136075208
1060634016
1131254263
1218381168
13c73c721
1480a4d32
1554ca97b
hex39d33a0

60634016 has 48 divisors (see below), whose sum is σ = 129749760. Its totient is φ = 27786240.

The previous prime is 60633977. The next prime is 60634027. The reversal of 60634016 is 61043606.

60634016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 17240 + ... + 20456.

It is an arithmetic number, because the mean of its divisors is an integer number (2703120).

Almost surely, 260634016 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 60634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64874880).

60634016 is an abundant number, since it is smaller than the sum of its proper divisors (69115744).

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

60634016 is a wasteful number, since it uses less digits than its factorization.

60634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 60634016 is about 7786.7847023017. The cubic root of 60634016 is about 392.8608735608.

The spelling of 60634016 in words is "sixty million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 3217 4712 6434 9424 12868 18848 25736 51472 61123 99727 102944 122246 199454 244492 398908 488984 797816 977968 1595632 1894813 1955936 3191264 3789626 7579252 15158504 30317008 60634016