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601000092 = 2232721147659
BaseRepresentation
bin100011110100101…
…000100010011100
31112212212222010200
4203310220202130
52212324000332
6135345303500
720615262600
oct4364504234
91485788120
10601000092
112892812a0
12149334b90
1397688b74
1459b67500
1537b6917c
hex23d2889c

601000092 has 216 divisors, whose sum is σ = 1971889920. Its totient is φ = 152550720.

The previous prime is 601000079. The next prime is 601000093. The reversal of 601000092 is 290000106.

It is a super-4 number, since 4×6010000924 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601000093) 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 71 ways as a sum of consecutive naturals, for example, 911659 + ... + 912317.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2601000092 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 601000092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985944960).

601000092 is an abundant number, since it is smaller than the sum of its proper divisors (1370889828).

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

601000092 is a wasteful number, since it uses less digits than its factorization.

601000092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 601000092 is about 24515.3032206416. The cubic root of 601000092 is about 843.9010219877.

Adding to 601000092 its reverse (290000106), we get a palindrome (891000198).

The spelling of 601000092 in words is "six hundred one million, ninety-two", and thus it is an aban number.