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66787056 = 24327591123
BaseRepresentation
bin1111111011000…
…1011011110000
311122200010121200
43332301123300
5114044141211
610343251200
71440452310
oct376613360
9148603550
1066787056
1134777116
121a449b00
1310ab528b
148c27440
155ce3b56
hex3fb16f0

66787056 has 120 divisors (see below), whose sum is σ = 217426560. Its totient is φ = 18741888.

The previous prime is 66787037. The next prime is 66787057. The reversal of 66787056 is 65078766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66787057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58911 + ... + 60033.

It is an arithmetic number, because the mean of its divisors is an integer number (1811888).

Almost surely, 266787056 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 66787056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108713280).

66787056 is an abundant number, since it is smaller than the sum of its proper divisors (150639504).

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

66787056 is a wasteful number, since it uses less digits than its factorization.

66787056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 66787056 is about 8172.3347949041. The cubic root of 66787056 is about 405.7240636783.

The spelling of 66787056 in words is "sixty-six million, seven hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1123 1239 1416 1652 2124 2246 2478 2832 3304 3369 3717 4248 4492 4956 6608 6738 7434 7861 8496 8984 9912 10107 13476 14868 15722 17968 19824 20214 23583 26952 29736 31444 40428 47166 53904 59472 62888 66257 70749 80856 94332 125776 132514 141498 161712 188664 198771 265028 282996 377328 397542 463799 530056 565992 596313 795084 927598 1060112 1131984 1192626 1391397 1590168 1855196 2385252 2782794 3180336 3710392 4174191 4770504 5565588 7420784 8348382 9541008 11131176 16696764 22262352 33393528 66787056