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60000096 = 25313131367
BaseRepresentation
bin1110010011100…
…0011101100000
311011220022122210
43210320131200
5110330000341
65542002120
71325664252
oct344703540
9134808583
1060000096
1130960a62
1218116340
13c57a020
147d7bcd2
155402c16
hex3938760

60000096 has 96 divisors (see below), whose sum is σ = 171376128. Its totient is φ = 18270720.

The previous prime is 60000091. The next prime is 60000103. The reversal of 60000096 is 69000006.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60000091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163305 + ... + 163671.

It is an arithmetic number, because the mean of its divisors is an integer number (1785168).

Almost surely, 260000096 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 60000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85688064).

60000096 is an abundant number, since it is smaller than the sum of its proper divisors (111376032).

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

60000096 is a wasteful number, since it uses less digits than its factorization.

60000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 60000096 is about 7745.9728891857. The cubic root of 60000096 is about 391.4869729097.

The spelling of 60000096 in words is "sixty million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 131 156 208 262 312 367 393 416 524 624 734 786 1048 1101 1248 1468 1572 1703 2096 2202 2936 3144 3406 4192 4404 4771 5109 5872 6288 6812 8808 9542 10218 11744 12576 13624 14313 17616 19084 20436 27248 28626 35232 38168 40872 48077 54496 57252 76336 81744 96154 114504 144231 152672 163488 192308 229008 288462 384616 458016 576924 625001 769232 1153848 1250002 1538464 1875003 2307696 2500004 3750006 4615392 5000008 7500012 10000016 15000024 20000032 30000048 60000096