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66726640 = 2455967211
BaseRepresentation
bin1111111010001…
…0101011110000
311122120001202001
43332202223300
5114040223030
610342103344
71440111211
oct376425360
9148501661
1066726640
1134735792
121a41ab54
1310a93926
148c0d408
155cd0cca
hex3fa2af0

66726640 has 80 divisors (see below), whose sum is σ = 160882560. Its totient is φ = 25724160.

The previous prime is 66726631. The next prime is 66726641. The reversal of 66726640 is 4662766.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 66726640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66726641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316135 + ... + 316345.

It is an arithmetic number, because the mean of its divisors is an integer number (2011032).

Almost surely, 266726640 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 66726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80441280).

66726640 is an abundant number, since it is smaller than the sum of its proper divisors (94155920).

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

66726640 is a wasteful number, since it uses less digits than its factorization.

66726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 66726640 is about 8168.6375853015. The cubic root of 66726640 is about 405.6016865716.

The spelling of 66726640 in words is "sixty-six million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 67 80 118 134 211 236 268 295 335 422 472 536 590 670 844 944 1055 1072 1180 1340 1688 2110 2360 2680 3376 3953 4220 4720 5360 7906 8440 12449 14137 15812 16880 19765 24898 28274 31624 39530 49796 56548 62245 63248 70685 79060 99592 113096 124490 141370 158120 199184 226192 248980 282740 316240 497960 565480 834083 995920 1130960 1668166 3336332 4170415 6672664 8340830 13345328 16681660 33363320 66726640