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60306064 = 2472136197
BaseRepresentation
bin1110011000001…
…1001010010000
311012110212100221
43212003022100
5110414243224
65552322424
71331410300
oct346031220
9135425327
1060306064
113104a925
1218243414
13c656380
14801b600
1554636e4
hex3983290

60306064 has 120 divisors (see below), whose sum is σ = 150308088. Its totient is φ = 23224320.

The previous prime is 60306061. The next prime is 60306073. The reversal of 60306064 is 46060306.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 59290000 = 1008^2 + 7700^2 .

It is not an unprimeable number, because it can be changed into a prime (60306061) 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, 621664 + ... + 621760.

Almost surely, 260306064 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 60306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75154044).

60306064 is an abundant number, since it is smaller than the sum of its proper divisors (90002024).

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

60306064 is a wasteful number, since it uses less digits than its factorization.

60306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 60306064 is about 7765.6979081085. The cubic root of 60306064 is about 392.1513021379.

The spelling of 60306064 in words is "sixty million, three hundred six thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 61 91 97 98 104 112 122 182 194 196 208 244 364 388 392 427 488 637 679 728 776 784 793 854 976 1261 1274 1358 1456 1552 1586 1708 2522 2548 2716 2989 3172 3416 4753 5044 5096 5432 5551 5917 5978 6344 6832 8827 9506 10088 10192 10864 11102 11834 11956 12688 17654 19012 20176 22204 23668 23912 35308 38024 38857 41419 44408 47336 47824 61789 70616 76048 76921 77714 82838 88816 94672 123578 141232 153842 155428 165676 247156 289933 307684 310856 331352 494312 538447 579866 615368 621712 662704 988624 1076894 1159732 1230736 2153788 2319464 3769129 4307576 4638928 7538258 8615152 15076516 30153032 60306064