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66147680 = 2551783293
BaseRepresentation
bin1111110001010…
…1010101100000
311121110122120002
43330111111200
5113413211210
610321435132
71432150244
oct374252540
9147418502
1066147680
113437a805
121a19baa8
1310920251
148adc424
155c194a5
hex3f15560

66147680 has 96 divisors (see below), whose sum is σ = 168031584. Its totient is φ = 24518656.

The previous prime is 66147677. The next prime is 66147689. The reversal of 66147680 is 8674166.

66147680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66147689) 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, 225614 + ... + 225906.

It is an arithmetic number, because the mean of its divisors is an integer number (1750329).

Almost surely, 266147680 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 66147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015792).

66147680 is an abundant number, since it is smaller than the sum of its proper divisors (101883904).

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

66147680 is a wasteful number, since it uses less digits than its factorization.

66147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 66147680 is about 8133.1224016364. The cubic root of 66147680 is about 404.4251968817.

The spelling of 66147680 in words is "sixty-six million, one hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 83 85 136 160 166 170 272 293 332 340 415 544 586 664 680 830 1172 1328 1360 1411 1465 1660 2344 2656 2720 2822 2930 3320 4688 4981 5644 5860 6640 7055 9376 9962 11288 11720 13280 14110 19924 22576 23440 24319 24905 28220 39848 45152 46880 48638 49810 56440 79696 97276 99620 112880 121595 159392 194552 199240 225760 243190 389104 398480 413423 486380 778208 796960 826846 972760 1653692 1945520 2067115 3307384 3891040 4134230 6614768 8268460 13229536 16536920 33073840 66147680