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66689980 = 22572174003
BaseRepresentation
bin1111111001100…
…1101110111100
311122111012110021
43332121232330
5114033034410
610341221524
71436566300
oct376315674
9148435407
1066689980
1134710195
121a4018a4
1310a80036
148bddd00
155cc4eda
hex3f99bbc

66689980 has 72 divisors (see below), whose sum is σ = 172540368. Its totient is φ = 21514752.

The previous prime is 66689969. The next prime is 66689999. The reversal of 66689980 is 8998666.

66689980 = T151 + T152 + ... + T738.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14659 + ... + 18661.

It is an arithmetic number, because the mean of its divisors is an integer number (2396394).

Almost surely, 266689980 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 66689980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86270184).

66689980 is an abundant number, since it is smaller than the sum of its proper divisors (105850388).

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

66689980 is a wasteful number, since it uses less digits than its factorization.

66689980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 66689980 is about 8166.3933287590. The cubic root of 66689980 is about 405.5273929972.

The spelling of 66689980 in words is "sixty-six million, six hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4003 4165 8006 8330 16012 16660 20015 28021 40030 56042 68051 80060 112084 136102 140105 196147 272204 280210 340255 392294 476357 560420 680510 784588 952714 980735 1361020 1905428 1961470 2381785 3334499 3922940 4763570 6668998 9527140 13337996 16672495 33344990 66689980