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331666060 = 225112715563
BaseRepresentation
bin10011110001001…
…101001010001100
3212010002101022011
4103301031022030
51134401303220
652524431004
711135054305
oct2361151214
9763071264
10331666060
11160242690
12930a8464
135393720b
14320977ac
151e1b665a
hex13c4d28c

331666060 has 48 divisors (see below), whose sum is σ = 762757632. Its totient is φ = 120139200.

The previous prime is 331666051. The next prime is 331666067. The reversal of 331666060 is 60666133.

It is a super-2 number, since 2×3316660602 = 220004750711847200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331666067) 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 15 ways as a sum of consecutive naturals, for example, 56839 + ... + 62401.

It is an arithmetic number, because the mean of its divisors is an integer number (15890784).

Almost surely, 2331666060 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 331666060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381378816).

331666060 is an abundant number, since it is smaller than the sum of its proper divisors (431091572).

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

331666060 is a wasteful number, since it uses less digits than its factorization.

331666060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 331666060 is about 18211.7011835797. The cubic root of 331666060 is about 692.2033188078.

The spelling of 331666060 in words is "three hundred thirty-one million, six hundred sixty-six thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 2710 2981 5420 5563 5962 11126 11924 14905 22252 27815 29810 55630 59620 61193 111260 122386 244772 305965 611930 1223860 1507573 3015146 6030292 7537865 15075730 16583303 30151460 33166606 66333212 82916515 165833030 331666060