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664410060 = 223356072027
BaseRepresentation
bin100111100110100…
…001011111001100
31201022012112021000
4213212201133030
52330042110220
6145532340300
722315251366
oct4746413714
91638175230
10664410060
11311051126
12166614690
13a785ac62
1464351d36
153d4e2390
hex279a17cc

664410060 has 96 divisors (see below), whose sum is σ = 2071480320. Its totient is φ = 176796864.

The previous prime is 664410037. The next prime is 664410091. The reversal of 664410060 is 60014466.

664410060 is a `hidden beast` number, since 6 + 644 + 10 + 0 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326767 + ... + 328793.

It is an arithmetic number, because the mean of its divisors is an integer number (21577920).

Almost surely, 2664410060 is an apocalyptic number.

664410060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664410060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035740160).

664410060 is an abundant number, since it is smaller than the sum of its proper divisors (1407070260).

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

664410060 is a wasteful number, since it uses less digits than its factorization.

664410060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 664410060 is about 25776.1529325072. The cubic root of 664410060 is about 872.5936867622.

The spelling of 664410060 in words is "six hundred sixty-four million, four hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 607 1214 1821 2027 2428 3035 3642 4054 5463 6070 6081 7284 8108 9105 10135 10926 12140 12162 16389 18210 18243 20270 21852 24324 27315 30405 32778 36420 36486 40540 54630 54729 60810 65556 72972 81945 91215 109260 109458 121620 163890 182430 218916 273645 327780 364860 547290 1094580 1230389 2460778 3691167 4921556 6151945 7382334 11073501 12303890 14764668 18455835 22147002 24607780 33220503 36911670 44294004 55367505 66441006 73823340 110735010 132882012 166102515 221470020 332205030 664410060