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66755640 = 23357211353
BaseRepresentation
bin1111111010100…
…1110000111000
311122121112112010
43332221300320
5114042140030
610342445520
71440261600
oct376516070
9148545463
1066755640
1134755556
121a4338a0
1310aa3ba3
148c19c00
155cd96b0
hex3fa9c38

66755640 has 96 divisors (see below), whose sum is σ = 232984080. Its totient is φ = 15257088.

The previous prime is 66755627. The next prime is 66755641. The reversal of 66755640 is 4655766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66755641) 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, 204 + ... + 11556.

Almost surely, 266755640 is an apocalyptic number.

66755640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66755640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116492040).

66755640 is an abundant number, since it is smaller than the sum of its proper divisors (166228440).

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

66755640 is a wasteful number, since it uses less digits than its factorization.

66755640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 66755640 is about 8170.4124742879. The cubic root of 66755640 is about 405.6604374458.

The spelling of 66755640 in words is "sixty-six million, seven hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 11353 22706 34059 45412 56765 68118 79471 90824 113530 136236 158942 170295 227060 238413 272472 317884 340590 397355 454120 476826 556297 635768 681180 794710 953652 1112594 1192065 1362360 1589420 1668891 1907304 2225188 2384130 2781485 3178840 3337782 4450376 4768260 5562970 6675564 8344455 9536520 11125940 13351128 16688910 22251880 33377820 66755640