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60007068 = 223411113149
BaseRepresentation
bin1110010011101…
…0001010011100
311011220200020000
43210322022130
5110330211233
65542054300
71326023502
oct344721234
9134820200
1060007068
1130966220
121811a390
13c580254
147d80672
155404d13
hex393a29c

60007068 has 120 divisors (see below), whose sum is σ = 173804400. Its totient is φ = 17902080.

The previous prime is 60007063. The next prime is 60007097. The reversal of 60007068 is 86070006.

60007068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60007063) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 402658 + ... + 402806.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 260007068 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 60007068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86902200).

60007068 is an abundant number, since it is smaller than the sum of its proper divisors (113797332).

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

60007068 is a wasteful number, since it uses less digits than its factorization.

60007068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 60007068 is about 7746.4229164176. The cubic root of 60007068 is about 391.5021358936.

The spelling of 60007068 in words is "sixty million, seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 113 132 149 162 198 226 297 298 324 339 396 447 452 594 596 678 891 894 1017 1188 1243 1341 1356 1639 1782 1788 2034 2486 2682 3051 3278 3564 3729 4023 4068 4917 4972 5364 6102 6556 7458 8046 9153 9834 11187 12069 12204 14751 14916 16092 16837 18306 19668 22374 24138 29502 33561 33674 36612 44253 44748 48276 50511 59004 67122 67348 88506 100683 101022 132759 134244 151533 177012 185207 201366 202044 265518 303066 370414 402732 454599 531036 555621 606132 740828 909198 1111242 1363797 1666863 1818396 2222484 2727594 3333726 5000589 5455188 6667452 10001178 15001767 20002356 30003534 60007068