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60061064 = 23723741101
BaseRepresentation
bin1110010100011…
…1010110001000
311012000102021212
43211013112020
5110333423224
65543152252
71326340100
oct345072610
9135012255
1060061064
11309a2848
1218145688
13c59b9bb
147d96200
155415d0e
hex3947588

60061064 has 96 divisors (see below), whose sum is σ = 139187160. Its totient is φ = 24192000.

The previous prime is 60061019. The next prime is 60061069. The reversal of 60061064 is 46016006.

It can be written as a sum of positive squares in 4 ways, for example, as 58644964 + 1416100 = 7658^2 + 1190^2 .

It is not an unprimeable number, because it can be changed into a prime (60061069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594614 + ... + 594714.

Almost surely, 260061064 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 60061064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593580).

60061064 is an abundant number, since it is smaller than the sum of its proper divisors (79126096).

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

60061064 is a wasteful number, since it uses less digits than its factorization.

60061064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 60061064 is about 7749.9073542850. The cubic root of 60061064 is about 391.6195287972.

The spelling of 60061064 in words is "sixty million, sixty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 37 41 49 56 74 82 98 101 148 164 196 202 259 287 296 328 392 404 518 574 707 808 1036 1148 1414 1517 1813 2009 2072 2296 2828 3034 3626 3737 4018 4141 4949 5656 6068 7252 7474 8036 8282 9898 10619 12136 14504 14948 16072 16564 19796 21238 26159 28987 29896 33128 39592 42476 52318 57974 74333 84952 104636 115948 148666 153217 183113 202909 209272 231896 297332 306434 366226 405818 594664 612868 732452 811636 1072519 1225736 1464904 1623272 2145038 4290076 7507633 8580152 15015266 30030532 60061064