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60016968 = 2332112832
BaseRepresentation
bin1110010011110…
…0100101001000
311011221011210200
43210330211020
5110331020333
65542212200
71326064404
oct344744510
9134834720
1060016968
1130972700
1218124060
13c5848cb
147d84104
155407c13
hex393c948

60016968 has 108 divisors (see below), whose sum is σ = 180844755. Its totient is φ = 17967840.

The previous prime is 60016933. The next prime is 60016969. The reversal of 60016968 is 86961006.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 30008484 + 30008484 = 5478^2 + 5478^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (60016969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 723055 + ... + 723137.

Almost surely, 260016968 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 60016968

60016968 is an abundant number, since it is smaller than the sum of its proper divisors (120827787).

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

60016968 is a wasteful number, since it uses less digits than its factorization.

60016968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 60016968 is about 7747.0618946798. The cubic root of 60016968 is about 391.5236647909.

The spelling of 60016968 in words is "sixty million, sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 121 132 166 198 242 249 264 332 363 396 484 498 664 726 747 792 913 968 996 1089 1452 1494 1826 1992 2178 2739 2904 2988 3652 4356 5478 5976 6889 7304 8217 8712 10043 10956 13778 16434 20086 20667 21912 27556 30129 32868 40172 41334 55112 60258 62001 65736 75779 80344 82668 90387 120516 124002 151558 165336 180774 227337 241032 248004 303116 361548 454674 496008 606232 682011 723096 833569 909348 1364022 1667138 1818696 2500707 2728044 3334276 5001414 5456088 6668552 7502121 10002828 15004242 20005656 30008484 60016968