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601084164 = 223172353491
BaseRepresentation
bin100011110100111…
…101000100000100
31112220001020110110
4203310331010010
52212334143124
6135351153020
720616062652
oct4364750404
91486036413
10601084164
1128932947a
12149375770
13976b8205
1459b89dd2
1537b84029
hex23d3d104

601084164 has 72 divisors (see below), whose sum is σ = 1497148128. Its totient is φ = 187658240.

The previous prime is 601084109. The next prime is 601084201. The reversal of 601084164 is 461480106.

It is a super-2 number, since 2×6010841642 = 722604344423157792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1223959 + ... + 1224449.

It is an arithmetic number, because the mean of its divisors is an integer number (20793724).

Almost surely, 2601084164 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 601084164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748574064).

601084164 is an abundant number, since it is smaller than the sum of its proper divisors (896063964).

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

601084164 is a wasteful number, since it uses less digits than its factorization.

601084164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 601084164 is about 24517.0178447543. The cubic root of 601084164 is about 843.9403703670.

The spelling of 601084164 in words is "six hundred one million, eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 353 491 578 706 867 982 1059 1156 1412 1473 1734 1964 2118 2946 3468 4236 5892 6001 8347 12002 16694 18003 24004 25041 33388 36006 50082 72012 100164 102017 141899 173323 204034 283798 306051 346646 408068 425697 519969 567596 612102 693292 851394 1039938 1224204 1702788 2079876 2946491 5892982 8839473 11785964 17678946 35357892 50090347 100180694 150271041 200361388 300542082 601084164