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66760740 = 22335123631
BaseRepresentation
bin1111111010101…
…1000000100100
311122121210112000
43332223000210
5114042320430
610342525300
71440312504
oct376530044
9148553460
1066760740
1134759372
121a436830
1310aa62c7
148c1ba04
155cdae60
hex3fab024

66760740 has 48 divisors (see below), whose sum is σ = 207701760. Its totient is φ = 17802720.

The previous prime is 66760723. The next prime is 66760741. The reversal of 66760740 is 4706766.

66760740 is a `hidden beast` number, since 6 + 6 + 7 + 607 + 40 = 666.

66760740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66760695 and 66760704.

It is not an unprimeable number, because it can be changed into a prime (66760741) 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, 61276 + ... + 62355.

It is an arithmetic number, because the mean of its divisors is an integer number (4327120).

Almost surely, 266760740 is an apocalyptic number.

66760740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66760740 is an abundant number, since it is smaller than the sum of its proper divisors (140941020).

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

66760740 is a wasteful number, since it uses less digits than its factorization.

66760740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123649 (or 123641 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 66760740 is about 8170.7245700733. The cubic root of 66760740 is about 405.6707677367.

The spelling of 66760740 in words is "sixty-six million, seven hundred sixty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 123631 247262 370893 494524 618155 741786 1112679 1236310 1483572 1854465 2225358 2472620 3338037 3708930 4450716 5563395 6676074 7417860 11126790 13352148 16690185 22253580 33380370 66760740