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669040300 = 225247283503
BaseRepresentation
bin100111111000001…
…011111010101100
31201121220202202101
4213320023322230
52332233242200
6150215504444
722402514545
oct4770137254
91647822671
10669040300
11313723975
12168088124
13a87bc646
1464bd94cc
153db0926a
hex27e0beac

669040300 has 72 divisors (see below), whose sum is σ = 1490904576. Its totient is φ = 260477760.

The previous prime is 669040279. The next prime is 669040303. The reversal of 669040300 is 3040966.

It is a super-2 number, since 2×6690403002 = 895229846048180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669040303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329849 + ... + 1330351.

It is an arithmetic number, because the mean of its divisors is an integer number (20707008).

Almost surely, 2669040300 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 669040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745452288).

669040300 is an abundant number, since it is smaller than the sum of its proper divisors (821864276).

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

669040300 is a wasteful number, since it uses less digits than its factorization.

669040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 669040300 is about 25865.8133450313. The cubic root of 669040300 is about 874.6160165520.

The spelling of 669040300 in words is "six hundred sixty-nine million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 283 470 503 566 940 1006 1132 1175 1415 2012 2350 2515 2830 4700 5030 5660 7075 10060 12575 13301 14150 23641 25150 26602 28300 47282 50300 53204 66505 94564 118205 133010 142349 236410 266020 284698 332525 472820 569396 591025 665050 711745 1182050 1330100 1423490 2364100 2846980 3558725 6690403 7117450 13380806 14234900 26761612 33452015 66904030 133808060 167260075 334520150 669040300